The 7th Seminar on Linear Algebra and its Applicationsprofsite.um.ac.ir/~math/Abstracts_English_Farsi.pdf · their latest results about all aspects of linear algebra and its applica-

Abstracts of

The 7th Seminar onLinear Algebra and its Applications

Ferdowsi University of Mashhad, Iran

26-27th February 2014

Contents

Welcome 2

Author Index 3

Short Presentations 6

Posters 48

1

Welcome

We are pleased to organize the 7th Seminar on Linear Algebra and itsApplications during 26-27 February 2014 in Iran. The seminar providesa forum for mathematicians worldwide and scholar students to presenttheir latest results about all aspects of linear algebra and its applica-tions and a means to discuss their recent researches with each other.The organizing committee of the seminar warmly welcomes the partic-ipants to Mashhad, hoping that their stay in Mashhad will be happyand fruitful. About 200 participants have taken part in this seminar.We have made every effort to make the seminar as worthwhile as pos-sible. We wish to express our thanks to all whose help has made thisgathering possible. In particular we would like to express our grati-tude to the administration of Ferdowsi University of Mashhad and theIranian Mathematical Society.

ChairMohammad Sal Moslehian

2

Author Index

Abdollahi, Abdolaziz, 7, 15Afkhami, Mojgan, 7Afshin, Hamid Reza, 30, 43Afzali Borujeni, Badrosadat, 49Aghamollaei, Gholamreza, 21Aghasizadeh, Toktam, 8Aghili Ashtiani, Arya, 8Ahmadi-Asl, Salman, 9, 49Ahmadvand, Mohammad, 40Ahsani Tehrani, Hojjat, 19Alikhani, Akram, 9Alimohammadi, Davood, 10Alizadeh, Rahim, 10Amiraslani, Amir, 59Amyari, Maryam, 11, 24Anjidani, Ehsan, 11Arashi, Mohammad, 12Asadi, Mohammad B, 12Avazzadeh, Seyyed Hoseyn, 13Azizi zadeh, Najmeh, 50

Bakherad, Mojtaba, 13, 50Barid Loghmani, Ghasem, 29Barza, Sorina, 14Basirat, Behrooz, 14Bazigaran, Behnam, 54Behmaram, Afshin, 15Behzadi, Reza, 15

Chakoshi, Mahnaz, 16

Dadbakhsh, Reza, 58Dadi, Zohreh, 16

Dadipour, Farzad, 17, 40Dehghan, Mohammad Ali, 17, 43Dehghani, Mahdi, 18Derakhshan Khanghah, Maryam, 51

Ebrahimi Vishki, Hamid Reza, 18Eftekhari, Tahereh, 52Erfanian Attar, Azam, 18Esmaeelzadeh, F, 20Esmaeili, Javad, 19Estaremi, Yousef, 19

Farmani, M. R., 21Farshidianfar, Zahra, 12Fashandi, M., 58Feyzollahzade, Hadi, 51Forough, Marzieh, 20

Ghahramani, Hoger, 20, 52Gholami, Aliasghar, 21

Haj Aboutalebi, Narges, 21Hasanvand, Firoozeh, 26Hassani, Mahmoud, 31, 56Hassani, Mehdi, 22Heidari Darani, Zahra, 53Hosein Zade Saljooghi, Franak, 55Hosseini, Amin, 23Hosseini, Elham, 8Hosseinzadeh, Roja, 23

Ilkhanizadeh Manesh, Asma, 24, 54Imaninezhad, Mahdi, 11, 24

3

4 AUTHOR INDEX

Irandost, Safar, 58

Jamal Kashani, Zohreh, 54Janfada, M., 41

Kamyabi Gol, R. A., 20Keyhany, Eqbal, 25Khaksar Haghani, Farhad, 49Khalooei, Fatemeh, 25, 55Khanehgir, Mahnaz, 26Khashyarmanesh, Kazem, 7Khazaie, Farhad, 57Khorramizadeh, Mostafa, 26Khorsand Zak, Mohammad, 27Khorshidi, Maryam, 27Khoshsiar Ghaziani, Reza, 49Khosravi, Maryam, 27Kian, Mohsen, 28Kokabifar, Esmaeil, 29Kyanfar, Faranges, 29

Manjegani, Seyed Mahmoud, 30Mashhuri, Tayebe, 55Matinfar, Mashallah, 57Mehrjoofard, Mohammad Ali, 30Mirzapour, Farzollah, 31Mirzavaziri, Madjid, 44Mohammadi Yaghoobi, Farajollah, 41Mohammadian, Hossein, 12Mohammadzadeh Karizaki, Mehdi, 31,

56Mohsenipour, Maryam, 32Mokhtari, Amir Hosein, 32Mokhtari, Leila, 32Momenaee Kermani, Hossein, 33Moradian, E, 36Morassaei, Ali, 33Moslehian, Mohammad Sal, 34Mousavi, Sayyed Ahmad, 33

Najafi, Hamed, 35

Najafi, Hashem, 7Nasseri Shams, Nafiseh, 9Nekouei, Ehsan, 33Niknam, A., 41Niknam, Mona, 25

Ostovar, Elham, 50

Panjeh Ali Beik, Fatemeh, 9, 49Parsian, Ali, 35, 56Parsian, Zahra, 35, 56Pazandeh, Hadis, 10

Radjabalipour, Mehdi, 35, 36Rafiei, A, 36Rahimi-Alangi, M., 37Raja, Pandora, 37Rashidi, Saeedeh, 37Rezapour, Mohsen, 38, 57Riahifar, Abbas, 57Rivaz, A., 47Riyahiyan Eshkor, Shirin, 55Rooin, Jamal, 9

Saadati, Reza, 39Saberi Movahed, Farid, 39Sadeghi, Amir, 40Sadeghi, Farzane, 40Sadeghi, Ghadir, 32Safari, Parisa, 58Salemi, Abbas, 33, 40Sanami, Abolfazl, 40Sepahi, E., 58Seyedi, N. S., 20Shamshiri, Jamileh, 41Shamsi Gamchi, S., 41Shayanfar, Nikta, 59Sheikh Hosseini, Alemeh, 42Shojaeifard, Alireza, 43Silvestre, Pilar, 14Soltankhah, Nasrin, 37

AUTHOR INDEX 5

Taghavi, Ali, 23Tajaddini, Azita, 39Tajadini, Azita, 50Talebi, Gholamreza, 17, 43Talebi, Siamak, 33Tamer Kosan, M., 7Tohidi, Emran, 27Tolue, Behnaz, 44Toomanian, Megerdich, 27Toutounian, Faezeh, 27

Vaezpour, S. M., 37Vaezpour, S. Mansour, 44Vaezzadeh, Sara, 44

Yaghubi, Daniel, 44Yahaghi, Bamdad R., 37Yamazaki, Takeaki, 45Yazdani, Salman, 59

Zahraei, Mohsen, 45Zamani Poor, Elham, 59Zamani pur, Javad, 14Zamani, Ali, 47Zangoei Zadeh, S., 47Zarebnia, Mohammad, 51

Short Presentations


A generalization of orthogonal basis

Abdolaziz Abdollahi1∗and Hashem Najafi2

Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454,Iran;

1 [email protected] [email protected]

Abstract

LetH be a Hilbert space and (hi)mi=1 be a finite sequence of vectors inH. The

sequence (hi)mi=1 is called to be non-orthogonal neighbors (NON) sequence

provided that, ⟨vi, vj⟩ = 0 if and only if |i− j| ≤ 1 for all i, j ∈ {1, 2, ...,m}.In this talk we will prove that a necessary and sufficient condition for existinga non-orthogonal neighbors sequence with m vectors in a Hilbert space H isthat m−1 ≤ dim(H). Furthermore, we extend the notion of non orthogonalneighbors such that orthogonal basis is an especial case of it and will offera conjecture regarding this notion.

Time: Wed, 11:40 Room: 1

On the graphs associated to matrix rings

Mojgan Afkhami1, Kazem Khashyarmanesh2∗and M. Tamer Kosan3

1 Department of Mathematics, University of Neyshabur,P.O.Box 91136-899, Neyshabur, Iran.

[email protected]

2Department of Pure Mathematics, Ferdowsi University of Mashhad,P.O.Box 1159-91775, Mashhad, Iran.

[email protected].

3 Department of Mathematics, Gebze Institute of TechnologyCayirova Campus 41400 Gebze- Kocaeli, Turkey.

[email protected]

Abstract

In this talk, we study the zero-divisor graph associated to some specialsubrings of upper triangular matrix rings.


8 Short Presentations

On additive preservers of the hyper-range andhyper-kernel

Toktam Aghasizadeh1∗and Elham Hosseini2

Khayyam Institive of Higher Education;[email protected]@gmail.com

Abstract

In this talk, we study the bijective additive maps ϕ : B(H) −→ B(H) whichpreserve upper(lower) semi-Fredholm and finite rank nilpotent operatorsand we show that if for every finite dimension or codimension subspace Aof H, T (A) ⊆ A =⇒ ϕ(T )(A) ⊆ A and ϕ(TA)(A) = ϕ(T )(A), then thereexists an non-zero scaler µ ∈ C such that ϕ(T ) = µT for all T ∈ B(H). Wealso determine the form of surjective additive maps ϕ : B(H) −→ B(H)which weakly preserve in both directions the hyper-range’s codimension (i.e.codimR∞(T ) < ∞ ⇐⇒ codimR∞(ϕ(T )) < ∞) and the hyper-kernel’s di-mension (i.e. dimN∞(T ) < ∞ ⇐⇒ dimN∞ −(ϕ(T )) < ∞). We show that if ϕ : B(H) −→ B(H) weakly preserves inboth directions the hyper-range’s codimension and the hyper-kernel’s di-mension, then there exists an invertible bounded linear or conjugate linearoperator A : H −→ H and non-zero complex number µ ∈ C such thatϕ(T ) = µATA−1 for all T ∈ B(H).

Time: Thr, 11:20 Room: 1

Extending the centrosymmetric property formultidimensional matrices

Arya Aghili Ashtiani

Department of Electrical and Computer Engineering, Abbaspour College ofEngineering, Shahid Beheshti University, Tehran, Iran;

[email protected]

Abstract

In this talk, the centrosymmetric property of ordinary matrices is extendedfor multidimensional matrices. Then, an application of such matrices ispresented after a brief study of some of their basic properties and features.



A preconditioned GAOR iterative method for solvinglinear system of equations

Fatemeh Panjeh Ali Beik1, Nafiseh Nasseri Shams2 and SalmanAhmadi-Asl3∗

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;[email protected];

[email protected];[email protected]

Abstract

Recently, Wang et al. [Appl. Math. Comput. 219 (2013), no. 11, 5811--5816]have propounded some preconditioned GAOR methods. It has been provedthat applying one of the preconditioners leads to the superior convergencerate than other mentioned preconditioners. In the present paper we exam-ine a new type of preconditioner which outperforms those proposed by theauthors in the above referred work.


Some refinements of the operator Hermite--Hadamard

inequality

Akram Alikhani1∗and Jamal Rooin2

Department of Mathematics, Institute for Advanced Studies in Basic Sciences(IASBS), Zanjan 45137-66731, Iran;


Abstract

In this talk we obtain some classes of refinements of the operator Her-mite–Hadamard inequality by partitioning [0, 1] into suitable equal partsand using some monotonicity properties of operator convex functions. Theserefinements become sharper by increasing the points of divisions.



Linear isometries between real Banach algebras ofcontinuous complex-valued functions

Davood Alimohammadi1∗and Hadis Pazandeh2

Department of Mathematics, Faculty of Science, Arak University, Arak,38156-8-8349, Iran;

[email protected];2 [email protected]

Abstract

Let X and Y be compact Hausdorff spaces and let τ and η be topologicalinvolutions on X and Y , respectively. In 1991, Kulkarni and Arundhathicharacterized linear isometries from a real uniform function algebra A on(X, τ) onto a real uniform function algebra B on (Y, η) applying their Cho-quet boundaries and showed that these mappings are weighted compositionoperators.

In this talk we characterize all onto linear isometries and certain intolinear isometries between C(X, τ) and C(Y, η) applying the extreme pointsin the unit balls of C(X, τ)∗ and C(Y, η)∗.


A q-numerical range inequality andcharacterization of some types of matrices

Rahim Alizadeh

Department of Mathematics, Shahed University, P.O. Box 18151-159, Tehran,Iran.

[email protected]

Abstract

We discuss a characterization of square matrices A ∈ Mn that satisfy theinequality rq(A) ≤ r(A)(1+q)

2 , for every 0 ≤ q ≤ 1. Also we show that thisinequality is equivalent to the inequality ρ(AB) ≤ r(A)r(B), for every B ∈Mn, with rank(B) = 1. Here rq(A), r(A) and ρ(A), denote the q-numericalradius, ordinary numerical radius and spectral radius of A respectively.



Hilbert C∗-modules which are made into Hilbert spaces

Maryam Amyari 1∗and Mahdi Imaninezhad 2

Department of Mathematics, Mashhad Branch, Islamic Azad University,Mashhad, Iran.

[email protected]@gmail.com

Abstract

We know that every Hilber space is a left Hilbert C-module, but the converseis not true in general. In this talk we show that under which conditions aHilbert C∗-module is a Hilbert space.


An extension of the Gelfand-Mazur theorem

Ehsan Anjidani

Department of Mathematics, University of Neyshabur, P. O. Box 91136-899,Neyshabur, Iran.

[email protected]

Abstract

It is proved that if A is a complex unital fundamental division F -algebrawith bounded elements and the dual space A∗ of A separates the points onA, then A is isomorphic to the complex numbers C.



More properties of the complex bimatrix variate betadistribution

Mohammad Arashi1∗, Zahra Farshidianfar2 and Hossein Mohammadian3

1 Faculty of Mathematics Shahrood University of Technology, Shahrood, Iran.m arashi [email protected]

2 Department of Statistics Faculty of Sciences, Islamic Azad University, MashhadBranch, Mashhad, Iran.

zahra [email protected]

3 Quchan University of Advanced Technologies, Quchan, Iran.

h mohammadian [email protected]

Abstract

In this short note, we determined exact form of characteristic function andseveral propertise of the complex bimatrix beta distribution with the as-sumption of X1 and X2 being random Hermitian positive definite matrixs.


s-numbers and non-separable Hilbert spaces

Mohammad B. Asadi

School of Mathematics, Statistics and Computer Science, College of Science,University of Tehran, Tehran, Iran;

School of Mathematics, Institute for Research in Fundamental Sciences (IPM),Tehran 19395-5746, Iran;

[email protected]

Abstract

We give a survey of some recent results on s-numbers and unitarily invariantnorms in infinite dimensional Hilbert spaces.



G-frames are operators

Seyyed Hoseyn Avazzadeh

Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box

1159, Mashhad 91775, Iran;

Abstract

In this note, we aim to show that several known generalizations of framesare special kind of continuous frame defined by Ali et al. in 1993. Indeed, itis shown that these generalizations can be considered as an operator betweentwo Hilbert spaces.


Reverses of Callebaut inequality for operators

Mojtaba Bakherad∗

Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box1159, Mashhad 91775, Iran;

[email protected]; [email protected]

Abstract

In this talk, we show some reverses of Callebaut inequality under some mildconditions. In particular, we present

( n∑j=1

AjσBj

)♯( n∑

j=1

Ajσ⊥Bj

)≥

(∑nj=1Aj

2

)♯(∑n

j=1Bj

2

),

where Aj , Bj (1 ≤ j ≤ n) are positive invertible operators such that λAj ≤Bj ≤ 2λAj (1 ≤ j ≤ n) for some λ ∈ (0,+∞) and σ is a connection with acertain representing function.



Functions of bounded p-variation of second order

Sorina Barza1∗and Pilar Silvestre2

Department of Mathematics and Computer Science, Karlstad University, 656 81,Karlstad, Sweden;

[email protected];2 in industry, Madrid, Spain.

Abstract

The generalized functionals of Merentes type generate a scale of spaces con-necting the class of functions of bounded second p-variation with the Sobolevspace of functions with p-integrable second derivative. We prove some lim-iting relations for these functionals as well as sharp estimates in terms ofthe fractional modulus of order 2 − 1/p. These results extend some resultsfor functions of bounded variation but are not consequence of the last.


New approach for solving some related problems of M-matrices on the basis of differential equations

Behrooz Basirat1∗and Javad Zamani pur2

Department of Mathematics, Birjand Branch, Islamic Azad University , Birjand,Iran;

1 [email protected]@gmail.com

Abstract

This talk develops a novel linear system based approach for computing∥A−1∥∞, the Skeel condition number of an M–Matrix A, and the positivediagonal matricesD guaranteeing that AD be a strictly diagonally dominantmatrix.



Linear algebra method for counting the number of perfectmatchings in graphs

Afshin Behmaram

School of Mathematics, Institute for Research in Fundamental Science (IPM),Tehran , P .O. Box 19395-5746

School of Mathematics, Statistics and Computer Science, University of Tehran,Tehran, Iran;

[email protected]

Abstract

We apply linear Algebra method to give upper bounds on perfect matchingsin pfaffian graphs. These upper bounds which are sharper then Bregman’supper bounds for the number of perfect matchings. We show that some ofour upper bounds are sharp for 3 and 4-regular pfaffian graphs. We applyour results to fullerene graphs.


A new preconditioned AOR iterative method andcomparison theorems

Abdolaziz Abdollahi1 and Reza Behzadi2∗

Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454,Iran;

[email protected],[email protected]

Abstract

In this talk, we introduce a new preconditioners for solving linear systemsAx = b. We propose preconditioned associated accelerated overrelaxation(AOR) iterative methods with this new preconditioners, and give the corre-sponding convergence results.



Polar decomposition of the Aluthge transfomation inHilbert C∗-modules

Mahnaz Chakoshi

Safahan Institute of Higher Education, Isfahan, Iran

ma [email protected]

Abstract

Let T = U |T | and S = V |S| be the polar decomposition of adjointable oper-ators T and S, respectively on a Hilbert C∗-module. In this talk, we deter-mine these pairs of operators for which their products TS accepts the polardecomposition as TS = UV |TS|. Specially, we provide sufficient conditionsfor a certain operator T such that its Aluthge transform T = |T |1/2U |T |1/2admits the polar decomposition.


Stability analysis of an n-coupled cell system with delay

Zohreh Dadi

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord,Bojnord, Iran;

[email protected]; z d [email protected]

Abstract

In this talk, we consider a system of coupled cells in a ring with n cellswith delays, considering the time delay between the signal transmission ofthe cells. The n−coupled cell system is investigated from the viewpoint ofdistribution of zeros of the associated characteristic equation. In fact, weobtain some sufficient conditions by using the results of circle block matricesand their eigenvalues for the zero solution of the model to be asymptoticallystable.



On characterization of inner product spaces with respectto angular distance

Farzad Dadipour

Department of Mathematics, Graduate University of Advanced Technology,7631133131, Kerman, Iran;

[email protected]

Abstract

In this talk we present a new characterization of inner product spaces whichis similar to the well-known Ficken characterization. More precisely, wediscuss that for which t ∈ R, the angular distance equality α[x + ty, y] =α[y + tx, x] characterizes an inner product space.


E-frames for separable Hilbert spaces

Gholamreza Talebi1 and Mohammad Ali Dehghan2∗

Department of Mathematics, Vali-e-Asr University of Rafsanjan, P. O. Box7713936417, Islamic Republic of Iran;


Abstract

The purpose of this talk is to introduce the concept of E−frames for a sep-arable Hilbert space H, where E is an invertible infinite matrix mapping

on the Hilbert space∞⊕n=1

H. We investigate and study some properties of

E−frames and characterize all E−frames for H. Further more, we charac-terize all dual E−frames associated with a given E−frame. A similar char-acterization is also established for E−orthonormal bases, E−Reisz bases anddual E−Riesz bases. Our results generalize the concept of frames becausethe ordinary frames are the special case of E−frames in which the matrix E

be replaced by the identity matrix operator I on∞⊕n=1

H.



Positive block matrices on Hilbert and Krein C∗-modules

Mahdi Dehghani

Department of Pure and Applied Mathematics, Yazd University, Yazd P. O. Box89195-741, Iran.

[email protected]

Abstract

Let H1 and H2 be Hilbert C∗-modules. In this talk we give some necessaryand sufficient conditions for the positivity of a block matrix on the HilbertC∗-module H1 ⊕ H2. If (H1, J1) and (H2, J2) are two Krein C∗-modules,we study the J-positivity of 2× 2 block matrix(

A XX♯ B

)on the Krein C∗-module (H1⊕H2, J = J1⊕J2), where X

♯ = J2X∗J1 is the

(J2, J1)-adjoint of the operator X.


Jordan generalized derivations on trivial extensionalgebras

Azam Erfanian Attar1∗and Hamid Reza Ebrahimi Vishki2

Department of Pure Mathematics, Centre of Excellence in Analysis on AlgebraicStructures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad

91775, Iran;1 az−[email protected];

2 [email protected]

Abstract

We investigate those conditions under which a Jordan generalized derivationon a trivial extension algebra is a generalized derivation. Some applicationsto triangular algebras are also presented.



A new method to solve ill-conditioned linear systems

Javad Esmaeili∗1 and Hojjat Ahsani Tehrani 2

Department of Mathematics, University of Shahrood,Shahrood, Iran1 [email protected]

[email protected]

Abstract

Finding accurate solution of ill-conditioned systems is very difficult.Thereare some methods to solve this kind of systems. The pin-pointing methodpropose an alghorithm that changes the system in two stages.This methoduses the truncated singular value decomposition of the initial coefficientmatrix at the first stage and the Gaussian elimination procedure for reducedsystem of linear equations at the second stage. Using Gaussian eliminationprocedure make a considerable error in the solution. Tikhonove method isanother way to solve ill-conditioned systems. In this talk we proposed anew idea to overcome this kind of problems and some numerical results aregiven to show the efficiency of the proposed method.


Extended eigenvalue of Duhamel multiplication operators

Yousef Estaremi

Department of Pure Mathematics, Payame Noor University, p. o. box:19395-3697, Zanjan-Abhar, Iran;

[email protected], [email protected]

Abstract

In this talk under certain conditions, we calculate extended eigenvalues andextended eigenvectors of some weighted shift operator on ℓp(β). Also weshow that ℓp(β) with generalized Duhamel product ⊛ is a Banach algebra.



Tiling sets and affine system with composite dilations

N. S. Seyedi 1, R. A. Kamyabi Gol 2, F. Esmaeelzadeh 3∗

1,2 Department of Mathematics, Centre of Excellence in Analysis on AlgebraicStructures (CEAAS), Ferdowsi University OF Mashhad, P. O. Box 1159,

Mashhad 91775, Iran;[email protected]@ferdowsi.um.ac.ir

3 Department of Mathematics, Bojnourd Branch, Islamic Azad University,Bojnourd, Iran;

[email protected]

Abstract

Consider an AB-affine system AAB(Ψ), in which A,B ⊆ GLn(R) andΨ ∈ L2(Rn). By choosing A, B and Ψ appropriately, it can be made AAB(Ψ)an orthonormal basisor parseval frame for L2(Rn). In this talk, we showthat, there exist a relationship between an orthonormal basis and tiling setand also, between a parsval frame and packing set. Moreover, we constructan orthonormal AB-multiwavelet that arises from AB-multiresolution anal-ysis.


Douglas range factorization theorem for adjointableoperators on Hilbert C∗-modules

Marzieh Forough


[email protected]

Abstract

We discuss relationships among the concepts majorization, range inclusionand factorization for adjointable operators acting on a Hilbert C∗-module.Indeed, we extend Douglas range factorization theorem for bounded opera-tors and closed densely defined operators on a Hilbert space to the contextof bounded adjointable operators and regular operators acting on a HilbertC∗-module. We also give some applications of this extension.



Additive maps of some operator algebras behaving likederivations at idempotent-product elements

Hoger Ghahramani

Department of Mathematics, University of Kurdistan, P. O. Box 416, Sanandaj,Iran;


Abstract

Let N be a nest on a Banach space X and, suppose that A is a subalgebra ofB(X ) contains all rank one operators in AlgN and identity operator I, whichis a Banach algebra with respect to some norm. Let there exists a non-trivialidempotent P ∈ A with P (X ) ∈ N . We show that if d : A → B(X ) isan additive mapping derivable at P (i.e. d(AB) = Ad(B) + d(A)B forany A,B ∈ A with AB = P ), then d is a derivation. As applications ofthe above result, we characterize the additive mappings derivable at P onBanach space nest algebras and standard operator algebras.


The invariant subspace problem for quasinilpotentoperator

Aliasghar Gholami1 and M. R. Farmani2∗

1 Department of Pure Mathematics,Islamic Azad University of Saveh Branh, IranAzad University of Saveh, Saveh, Iran.

[email protected]

2 Department of Mathematics, Faculty of Mathematics and Statistics, Universityof Birjand, Birjand, Iran.

[email protected]

Abstract

In this talk we study the relationship between the decomposition of oper-ators on the basis of the decomposition of space into invariant subspaces.Furthermore, subspaces will be examined by considering the bounded andunbounded operators. At end, some equations of the non-trivial invariantsubspaces will be shown.



Trace and numerical range of Hermitian matrices withquaternion entries

Gholamreza Aghamollaei 1 and Narges Haj Aboutalebi 2∗

1 Department of Mathematics, Shahid Bahonar University of Kerman,76169-14111, Kerman, Iran;

[email protected]

2 Department of Mathematics, Shahrood Branch, Islamic Azad University,Shahrood , Iran.

[email protected]

Abstract

In this talk, we study traces and numerical ranges of Hermitian matriceswith quaternion entries.


Smith’s determinant over multiplicative functions

Mehdi Hassani

Department of Mathematics, University of Zanjan, University Blvd., 45371-38791,Zanjan, Iran;

[email protected]

Abstract

For a given arithmetical function f , the square matrix [f(i, j)]n×n given byf(i, j) = f(gcd(i, j)) where gcd(i, j) denotes the greatest common divisor ofthe numbers i and j, is called the greatest common divisor matrix related byf (namely f -GCD matrix), and its determinant is known as Smith’s deter-minant. In this paper, we evaluate Smith’s determinant of f -GCD matricesfor some multiplicative functions, including the generalized divisor function,Mobius function, and Euler function. Finally, we develop a method to ap-proximate the value of det[f(i, j)]n×n for strongly multiplicative functionsf .



On M.V-Banach algebras

Amin Hosseini

Kashmar Higher Education Institute, Kashmar, Iran;

[email protected]

Abstract

Let A be a Banach algebra. An element a of A has the mean value propertyif we have

∞∑n=1

(βa)n

n!−

∞∑n=1

(αa)n

n!= (β − α)

∞∑n=1

cn−1α,β an

(n− 1)!

A Banach algebra A is called M.V or M.V- Banach algebra if every elementof A has the mean value property. In this study the following result isproved:Let A be a unital domain and δ : D(δ) ⊆ A → A be a closed derivation.Furthermore, assume that a is an element of D(δ) with the mean valueproperty. If eaδ(a) = δ(a)ea then δ(a) = 0.


Additive maps preserving the fixed points of operators

Ali Taghavi1 and Roja Hosseinzadeh2∗

Department of Mathematics, Faculty of Mathematical Sciences, University ofMazandaran, P. O. Box 47416-1468, Babolsar, Iran.

[email protected],[email protected]

Abstract

Let B(X ) be the algebra of all bounded linear operators on a complex Banachspace X with dimX ≥ 3 and let F (A) be the space of all fixed pointsof an operator A ∈ B(X ). We characterize the forms of additive mapsϕ : B(X ) → B(X ) satisfying F (A) = F (ϕ(A)).



p-Majorization (rp-Majorization) and its linear preserverson R2 (R2)

Asma Ilkhanizadeh Manesh

Department of Pure Mathematics, Vali-e-Asr University of Rafsanjan, P. O. Box7713936417, Rafsanjan, Iran;


Abstract

A matrix is said to be doubly substochastic if it has nonnegative componentsand each row and each column sum is at most 1. A square nonnegative andsymmetric matrix P with zero diagonal elements is called a predistance ma-trix. For x, y ∈ Rn (x, y ∈ Rn), it is said that x p-majorized (rp-majorized)by y and denoted by x ≺p y (x ≺rp y) if there exists a predistance dou-bly substochastic matrix P such that x = Py (x = yP ). In this talk, wecharacterize the structure of all (strong) linear preservers of ≺p (≺rp) on R2

(R2).


An extension of H∗-algebras

Maryam Amyari1, Mahdi Imaninezhad2∗

Department of Mathematics, Mashhad Branch, Islamic Azad University,Mashhad, Iran;

[email protected] [email protected]

Abstract

In this talk we introduce an extension of H∗-algebras and show that theyhave a C∗-algebraic structure.



Functional interval matrices

Eqbal Keyhany ∗1 and Mona Niknam2

Department of mathematics, Islamic azad university, branch Hamedan , P. O.Box 6518115743, Hamedan Iran;

[email protected]@yahoo.com

Abstract

Interval matrix is one of the new branches of applied mathematics that inrecent years are studied many in papers. We extend this theory to matriceswith entries belong special C*-algebras.


Complex matrices with the Perron-Frobenius property

Fatemeh Khalooei

Department of Pure Mathematics, Shahid Bahonar University of Kerman, Iran;

f [email protected]

Abstract

By real matrices which have the Perron-Frobenius (resp. strong Perron-Frobe-nius) property, we have two collections of real matrices WPFn and PFn. Weextend here the collections WPFn and PFn to complex matrices. Also, westate here some sufficient conditions and some necessary and sufficient con-ditions for a complex matrix to be in WPFn or PFn.



b-numerical range of b-Hilbert spaces

Mahnaz Khanehgir1∗and Firoozeh Hasanvand2

Department of Mathematics, Mashhad Branch, Islamic Azad University,Mashhad, Iran, P. O. Box 91735, Iran;

[email protected];[email protected].

Abstract

In this talk we introduce the concept of b-bounded linear operator on ab-Hilbert space and investigate adjointability of it. Then we define b-numericalrange of these operators and state some properties of them.


Using matching theory to improve the efficiency of theQR based Turnback method

Mostafa Khorramizadeh

Department of Mathematics, Shiraz University of Technology, P. O. Box71555-313, Shiraz, Iran;

[email protected]

Abstract

Here, we show how we can improve the efficiency of the QR based Turnbackmethod, for computing a sparse null space basis of a large and sparse matrix,by using the concepts of the matching theory of bipartite graphs. Then, wepresent numerical results to justify the efficiency of the resulting algorithm.



New iterative solution for linear systems with dominantskew-symmetric part

Mohammad Khorsand Zak1∗, Faezeh Toutounian2 and Emran Tohidi3

Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad,Iran;

[email protected]@[email protected]

Abstract

We present an efficient iterative method for solving linear systems which theskew-symmetric part of their coefficient matrix is dominant. This method isactually inner/outer iterations, which employs the CGNR method as inneriteration to approximate each outer iterate. Convergence conditions of thismethod are studied and numerical experiments show the efficiency of thismethod and it’s preconditioned version.


Generalization of the Lie symmetry theory to thefractional-partial equations

Megerdich Toomanian1 and Maryam Khorshidi2∗

1Department of Mathematics, Islamic Azad University, Karaj Branch,P.O. Box31485-313, Karaj, Iran;

[email protected]

2 Department of Mathematics,Firoozabad Higher Education Center, Firoozabad,Fars , Iran.

[email protected]

Abstract

In this talk we introduce the concept of fractional derivatives and prolonga-tion formula for this kind of derivatives. Method of Lie group analysis areapplied to investigate symmetry properties of the fractional diffusion equa-tions Dα

t u = (k(u)ux)x for different orders of α(0 < α ≤ 1) and differenttypes of derivatives(integer, Riemann-Liouville and Caputo).



Subdirect sum of inverse-positive matrices

Maryam Khosravi

Department of Mathematics, Shahid Bahonar University of Kerman, Kerman,Iran;

khosravi−[email protected]

Abstract

In this note, we investigate two problems about k-subdirect sum of ma-trices. The first one is whether the k subdirect sum of inverse-positivematrices forms an inverse positive matrix and the second one is, whether aninverse-positive matrix can be written of the form of k-subdirect sum of twoinverse-positive matrices.


Subadditivity inequalities for convex functions ofoperators

Mohsen Kian

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord,P.O. Box 1339, Bojnord 94531, Iran;

[email protected] and [email protected]

Abstract

It is shown that for a continuous convex function f , the inequality f(A) +f(B) ≤ f(A+B) holds true for self-adjoint operators A and B under properconditions. Some convexity inequalities for Hilbert space operators are alsopresented.



Nearest matrix with k prescribed distinct eigenvalues

Ghasem Barid Loghmani1, and Esmaeil Kokabifar2∗

Faculty of Mathematics, Yazd University, Yazd, Iran;1loghmani.yazd.ac.ir;

2 [email protected].

Abstract

For an n×nmatrixA and a set of given complex numbers Λ = {λ1, λ2, · · · , λk}such that k ≤ n, we compute a spectral norm distance from A to the setof matrices that Λ included in their spectrum. Also construction of optimalperturbation, ∆, to matrix A such that spectrum of A + ∆ consist of Λ isconsidered.


Stagnation of the iterative method GMRES

Faranges Kyanfar

Department of Applied Mathematics, Shahid Bahonar University of Kerman,Kerman, Iran;

[email protected]

Abstract

In this talk we characterize all n × n nonsingular normal matrices A suchthat GMRES(A,b) stagnates completely for some vector b. A necessary andsufficient condition for the non-existence of real stagnation vector for realnormal matrices was studied. Moreover, we characterize all the eigenval-ues of nonsingular normal matrices A ∈ M3(C) such that GMRES(A,b)stagnates completely for some b ∈ C3.



Totally positive matrices and totally positive preservingfunctions

Seyed Mahmoud Manjegani

Department of Mathematical Sciences, Isfahan University of Technology, Isfahan84156-83111, Iran;

[email protected]

Abstract

An m × n matrix A is called totally positive (TP) if all its minors of allsizes are positive. Totally positive matrices have been studies in great detailand occur in many applications. For example there is an interesting con-nection between totally positivity and canonical basis for quantum groups.A real-valued function f is a tatally positive preserving function if f(A) istotally positive whenever A is an m × n totally positive matrix . We willintroduce totally positive matrices and will show that under some conditionsthe function f(t) = tα is a totally positive preserving function.


Joint higher rank numerical range of three Pauli matrices

Hamid Reza Afshin1 and Mohammad Ali Mehrjoofard∗2

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran;[email protected];

2 [email protected]

Abstract

Pauli channel is a central class of quantum operations in quantum com-puting. For a noisy quantum channel, a quantum error correcting code ofdimension k exists if and only if the joint rank-k numerical range associ-ated with the error operators of the channel is non-empty. In this talk,joint higher rank numerical range of three Pauli matrices are completelycharacterized.



Root-approximability on automorphisms of the unit ballof B(H)n

Farzollah Mirzapour

Department of Mathematics, Faculty of Sciences, University of Zanjan,P. O. Box 45195-313, Zanjan, Iran;

[email protected]

Abstract

In this talk we study the root-approximable of free holomorphic function on

[B(H)n1 ] = {(X1, · · · , Xn) ∈ B(H)n : ∥X1X∗1 + · · ·+XnX

∗n∥ < 1},

where B(H) is the algebra of all bounded linear operators on a Hilbert spaceH.


Moore-Penrose inverse and range property

Mehdi Mohammadzadeh Karizaki1∗, Mahmoud Hassani2

Department of Mathematics, Islamic Azad University of Mashhad, Mashhad, Iran;1 [email protected];

2 [email protected]

Abstract

Suppose T is a bounded adjointable operator in a Hilbert C*-module. It iswell known that an operator T has closed range, if and only if its Moore-Pen-rose inverse (T )† exists. In this talk we find a relation between T with (T )†.



Real interpolation of Lorentz spaces with respect tovector measures

Maryam Mohsenipour1∗, Ghadir Sadeghi2

Department of Mathematics and Computer Sciences, Hakim Sabzevari University,Sabzevar, Iran;


Abstract

In this talk we describe the real interpolated spaces between two quasi-normedLorentz spaces ΛP

∥m∥(φ) with respect to the vector measure m.


Generalized Lie derivations on rings with a non-trivialidempotent

Amir Hosein Mokhtari1∗and Leila Mokhtari2

1 Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box1159, Mashhad 91775, [email protected]

2 Education administration of Kashmar

[email protected]

Abstract

We investigate Lie derivations and generalized Lie derivations on unitalrings with a non-trivial idempotent. It is shown under some mild conditionsthat each Lie derivation and generalized Lie derivation on this kind of ringsis proper. Some applications to triangular algebras are also presented.



A new family of linear dispersion space-time codes of highperformance

Hossein Momenaee Kermani1∗, Siamak Talebi2 and Ehsan Nekouei3

1 Department of Mathematics and Computer Sciences, Shahid BahonarUniversity of Kerman, Kerman, Iran ;

[email protected]

2,3 Department of Electrical Engineering, Shahid Bahonar University of Kerman,Kerman, Iran;


Abstract

Space-time coding is a coding way introduced for multiple input multi-ple output (MIMO) communication systems. After orthogonal space-timecodes, linear dispersion codes were introduced to increase rate of transmis-sion and decrease loss of information. In this talk we introduce a new ap-proach to design square linear dispersion space-time codes. The introducedcodes are full-rate, full-diversity and information lossless.


Some Lewent type determinantal inequality

Ali Morassaei

Department of Mathematics, Faculty of Sciences, University of Zanjan,University Blvd., Zanjan 45371-38791, Iran

Shahid Beheshti Exceptional Talents Training Center 2 of Zanjan,Zanjan 45149-46699, Iran;

[email protected]

Abstract

In this talk, by using of the convexity of the function f(A) = log det(I +A) − log det(I − A) over the set of positive semi definite contractions, wepresent two new version of Lewent type determinantaly inequality by aJensen-Mercer type inequality.



Quantum error correction and commutative Paulichannels

Sayyed Ahmad Mousavi1∗and Abbas Salemi2

Department of Mathematics, Faculty of Mathematics and Computer, ShahidBahonar University of Kerman, 76169-14111, Kerman, Iran.


Abstract

For a noisy quantum channel, a quantum error correction code of dimensionk exists if and only if the joint rank-k numerical range associated with theerror operators of the channel is non-empty. In this talk, we obtained thelargest k, for which the joint rank-2k numerical range associated with erroroperators of some given commutative Pauli channel is nonempty.


Operator inequalities of Lowner type

Mohammad Sal Moslehian

Department of Pure Mathematics, Center of Excellence in Analysis on AlgebraicStructures (CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad

91775, Iran.

[email protected]

Abstract

In this talk, we investigate several norm inequalities corresponding to theLowner--Heinz inequality as well as some operator inequalities involving thestrict positivity, operator convex functions and operator monotone func-tions.



Generalized arithmetic-geometric mean type inequality

Hamed Najafi

Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box1159, Mashhad 91775, Iran.

[email protected]

Abstract

We show that for two continuous functions f, g on (0,∞) such that f(t)g(t) is

an Kwong function and f(t)g(t) ≤ t, any positive matrices A,B and anymatrix X, it holds that

|||f(A)Xg(B) + g(A)Xf(B)||| ≤ |||AX +XB|||

for each unitarily invariant norm |||.|||.


On the Fermi isomorphism

Ali Parsian1∗and Zahra Parsian2

1 Department of Mathematics, Tafresh University, Tafresh, Iran;[email protected]

2 Department of Computer Engineering, Faculty of Engineering, ShahedUniversity, Tehran, Iran;

[email protected]

Abstract

Let S be an n−surface and α : I → S be a unit speed curve. Let the smoothvector field X tangent to S along α, is everywhere orthogonal to α. Wedefine the concept of Fermi parallelism of X and show that if a ∈ I andv ∈ Tα(a)S is orthogonal to the derivative of α, then there exists a uniquevector field V along α that V is Fermi parallel and V (a) = v. Then weshow that this vector field defines a vector space isomorphism between theorthogonal complements of any two vector space < α(a) > and < α(b) >.



Functional calculus. Part I: Linear algebra

Mehdi Radjabalipour

Iranian Academy of Sciences

[email protected]

Abstract

Functional calculus is a strong tool for constructing, deconstructing andreconstructing linear operators and it all begins with the simple but veryimportant theory of polynomials of operators. The present survey article wasmotivated by extending the well-known primary and cyclic decompositiontheorems together with their byproducts, namely the rational canonical andJordan canonical forms, to infinite dimensional spaces which succeeded withfinding simpler and shorter proofs for the finite dimensional cases. Also, itextends the functional calculus in a novel way to unbounded symmetricoperators.


Functional calculus. Part II: Selfadjoint operators

Mehdi Radjabalipour

Iranian Academy of Sciences

[email protected]

Abstract

The functional calculus is extended to bounded or unbounded symmetricoperators.


Left-looking version of RIF preconditioner with completepivoting strategy

A. Rafiei1∗, E. Moradian2

Department of Applied Mathematics, Hakim Sabzevari University, [email protected], [email protected]; 2moradian [email protected]

Abstract

In this talk, we use a complete pivoting strategy for the left-looking versionof RIF preconditioner and study effect of this pivoting.



On modules of linear transformations

M. Rahimi-Alangi∗1 and Bamdad R. Yahaghi2

1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697Tehran, Iran;

[email protected]

2 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan19395-5746, Iran;

[email protected], [email protected]

Abstract

Let D be a division ring, V,W right or left vector spaces over D, andL(V,W) the L(W)-L(V) bimodule of all right (resp. left) linear transforma-tions from V into W. We prove some basic results about certain submodulesof L(V,W). For instance, we show, among other results, that a right sub-module (resp. left submodule) of L(V,W) is finitely generated whenever itsimage (resp. coimage) is finite-dimensional.


Commuting graph of operators space

Pandora Raja1∗and S. M. Vaezpour2

1 Department of Mathematics, Shahid Beheshti University,P. O. Box 1983963113, Tehran, Iran;

p [email protected]

2 Department of Mathematics and Computer Sciences, Amirkabir University ofTechnology, Hafez Ave., P. O. Box 15914, Tehran, Iran;

[email protected]

Abstract

In this talk, we introduce the commuting graph of a subset of operatorson a Hilbert space. Then, we study the connectivity and the diameter ofthe commuting graphs of the set of all bounded operators, the set of allprojections, and the set of all nilpotent operators on a separable Hilbertspace.



Three 2− (v, 4, 1) block designs having a prescribednumber of blocks in common

Saeedeh Rashidi1∗and Nasrin Soltankhah2

Department of Mathematics, Alzahra University, Vanak Square 19834 Tehran,Iran;

[email protected]

Abstract

In this talk we investigate the existence of three S(2, 4, v) designs with

prescribed number of blocks in common. Let bv = v(v−1)12 and I3[v] =

{0, 1, . . . , bv}\{bv−7, bv−6, bv−5, bv−4, bv−3, bv−2, bv−1}. Let J3[v] = {k|there exist three S(2, 4, v) designs with k same common blocks}. We showthat J3[v] ⊆ I3[v] for any positive integer v ≡ 1, 4 (mod 12).


Continuous-time GARCH(1,1) process driven by a heavytail Levy process

Mohsen Rezapour

Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran;

[email protected]

Abstract

Gaussian distribution is not a proper distribution to model many of the re-al-life time series. Heavy tail distributions such as the Pareto distributionhave proved instrumental in providing a model for considering observationin finance, insurance, telecommunications, metrology and hydrology. Con-tinuous-time GARCH(1,1) which is an extension of discreet one can be ob-tain using an extended version of Black-Scholes model given by a stochasticdifferential equation. In this talk, we consider the tail behavior of COGA-RCH(1,1) process driven by a heavy tail Levy process.



Operator equation in random Banach algebras

Reza Saadati

Department of Mathematics, Iran University of Science and Technology, Tehran,Iran;

[email protected]

Abstract

In this talk, we apply a fixed point theorem to solve the operator equationAxBx = x in random Banach algebras under a nonlinear contraction.


Convergence results for generalized conjugate gradientmethod for the matrix equation AXB = C

Azita Tajaddini1 and Farid Saberi Movahed∗2

Department of Mathematics, Faculty of Mathematics and Computer Science,Shahid Bahonar University of Kerman, P. O. Box 4111, Kerman, 761691, Iran;

[email protected];[email protected]; [email protected]

Abstract

In this talk, we introduce an iterative method for solving the matrix equa-tion AXB = C in which A and B are symmetric positive definite. Thismethod is based on global Conjugate Gradient method which is equivalentto an orthogonal projection. We study some convergence analysis of thismethod, such as expression and upper bound for the error and minimizationproperty.



An orthogonality in normed linear spaces based onangular distance inequality

Farzad Dadipour1, Farzane Sadeghi2∗and Abbas Salemi3

1 Department of Mathematics, Graduate university of advanced technology,7631133131, Kerman, Iran;

[email protected],3 Department of Mathematics, Shahid Bahonar University of Kerman,

7619614111, Kerman, Iran;

sadeghi.farzane @gmail.com, [email protected]

Abstract

In this talk, we present an orthogonality in a normed linear space which isbased on an angular distance inequality. Main properties of this orthogonal-ity is disscussed. We also find another version of the Singer orthogonality interms of an angular distance inequality and compare these orthogonalitieswith each other.


Approximation of the matrix geometric mean

Mohammad Ahmadvand1 and Amir Sadeghi2∗

1 Department of Mathematics, Islamic Azad University, Malayer Branch,Malayer, Iran;

mohammad−[email protected]

2 School of Mathematical Sciences, University Science of Malaysia,11800 USM,Penang, Malaysia.

[email protected]

Abstract

The computation of the geometric mean of two positive definite matrices ismotivated by the need to solve some nonlinear matrix equations. However,the integral representation is an applicable tool for evaluating geometricmean of two matrices. In this talk, an efficient algorithm is proposed to thecomputation of the matrix geometric mean by exploiting some approxima-tion approaches is considered.



A preserver problem in statistical quantum

Abolfazl Sanami∗

Freelance Mathematics Researcher, Mashhad, Iran.

[email protected]

Abstract

Let H be a finite dimensional complex Hilbert space, B(H )+ be the setof all positive semi-definite operators (matrices) on H and φ is a (notnecessarily linear) map of B(H )+ preserving the generalized Helmholtz freeenergy. In this talk, under suitable conditions we prove that there existseither a unitary or an anti-unitary operator U on H such that φ(A) =UAU∗ for any A ∈ B(H )+.


Minimal energy solutions for a class of semilinear ellipticproblems with nonlinear boundary conditions

Jamileh Shamshiri1∗and Farajollah Mohammadi Yaghoobi2

1 Department of Mathematics, Mashhad Branch, Islamic Azad University-Mashhad- Iran;

[email protected]

2 Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran.

[email protected]

Abstract

In this talk, we deal with the existence and multiplicity of positive minimalenergy solutions for a class of semilinear elliptic problems with nonlinearboundary conditions. By extracting the Palais-Smale sequences in the Ne-hari manifold, it is proved that there exists λ∗ such that for λ ∈ (0, λ∗), thegiven boundary value problem has at least two positive solutions.



Metrizability of algebraic cone metric spaces

S. Shamsi Gamchi1∗, M. Janfada2 and A. Niknam3

Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box1159, Mashhad 91775, Iran;[email protected]

[email protected]@yahoo.co.uk

Abstract

In this talk, we prove that the topology induced by algebraic cone metriccoincides with the topology induced by the metric obtained via a nonlinearscalarization function, i.e. any algebraic cone metric space is metrizable.


A note on norm comparison for Heinz means and theA-L-G interpolation means

Alemeh Sheikh Hosseini

Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111,Kerman, Iran;


Abstract

In this talk we compare the Heinz means

1

2

(H

12+βXK

12−β +H

12−βXK

12+β

)and the A-L-G interpolation means Mα(H,K)X.



The generalization of the Perron-Frobenius theorem fornonnegative tensors to the class of real tensors

Hamid Reza Afshin1 and Alireza Shojaeifard2∗


[email protected] [email protected]

Abstract

In this talk, a new quantity for real tensors, the sign-real spectral radius,is defined and investigated. A various characterizations, bounds and someproperties are derived. In certain aspects our quantity shows similar be-havior to the spectral radius of a nonnegative tensor. In fact, we generalizethe Perron-Frobenius Theorem for nonnegative tensors to the class of realtensors.


∆−frames and the below boundedness of matrixoperators on the sequence space bvp

Gholamreza Talebi1∗and Mohammad Ali Dehghan2



Abstract

Denote by Lbvp,bvp(A), the supremum of those l, satisfying the inequality∥Ax∥bvp ≥ l ∥x∥bvp , where A = (an,k)n,k≥1 is a non-negative matrix, x ≥ 0

and x ∈ bvp. In this talk, we focus on the evaluation of Lbvp,bvp(At) for a

lower triangular matrix A with increasing rows, where 0 < p < 1. A generallower estimate is obtained. As a consequence, we apply our result to theweighted mean matrices and the Norlund matrices. Also, in this talk theconcepts of ∆−frame, dual ∆−frame, ∆−Beseel sequence, ∆−Riesz anddual ∆−Riesz basis which are all related to the space bv2, are introduced.We investigate some properties of these classes of frames and also charac-terize all of them. In addition, we present some sequences that are frameand are not ∆−frame and vice versa. Also, we give some sequences whichare both frame and ∆− frame.



Recognition of the non-commuting graph by thenon-centralizer graph

Behnaz Tolue

Department of Pure Mathematics, Hakim Sabzevari University, Sabzevar, Iran;

[email protected]

Abstract

We define the non-centralizer graph associated to a finite group G, as thegraph whose vertices are the elements of G, and whose edges are obtainedby joining two distinct vertices if their centralizers are not equal. We denotethis graph by ΥG. The non-centralizer graph is used to study the propertiesof the non-commuting graph of an AC-group.


Maximal positive definite solutions of a matrix equation

Sara Vaezzadeh1∗and S. Mansour Vaezpour2

1 Department of Mathematics and Computer Science, Amirkabir University ofTechnology, Hafez Ave., P. O. Box 15914, Tehran, Iran;

1sarah [email protected] [email protected]

Abstract

We study the nonlinear matrix equationX+A⋆X−1A+B⋆X−1B = I, whereA and B are square matrices. some iterations for finding maximal positivedefinite solutions of these equations are given. Also some convergence resultsfor these iteratins are given.



Mixed bell and Stirling number

Madjid Mirzavaziri1 and Daniel Yaghubi2∗

1 Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box1159, Mashhad 91775, Iran;

Centre of Excellence in Analysis on Algebraic Structures (CEAAS), FerdowsiUniversity of Mashhad, Mashhad, Iran.

[email protected]

2 Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box1159, Mashhad 91775, Iran;

danyal [email protected]

Abstract

Stirling numbers of the second kind and Bell numbers are intimately linkedthrough the roles they play in enumerating partitions of n-sets. As anextension of this problem,we consider b1 + b2 + . . . + bn balls with b1 ballslabelled 1, b2 balls labelled 2, . . ., bn balls labelled n and c1 + c2 + . . . + ckcells with c1 cells labelled 1, c2 cells labelled 2, . . ., ck cells labelled k, in thistalk we count the number of ways to partition the set of these balls intoof these cells. As an application, for a positive integer m we evaluate thenumber of ways to write m as the form m1 ·m2 · . . . ·mk, where k ⩾ 1


On geometric means of n-matrices and related results

Takeaki Yamazaki

Department of Electrical, Electronic and Computer Engineering,Toyo University

2100 Kujirai, Kawagoe, Saitama, 250-8585, Japan;

[email protected]

Abstract

For n ≥ 3, three kinds of geometric mean of n-positive definite matrices andtheir properties are introduced. Especially, we shall consider some matrixinequalities for one of the geometric means of n-matrices. It includes famousAndo-Hiai anf Furuta inequalities. Moreover as recent topics, we introduceconverses of Loewner-Heinz inequality via geometric mean of n-matrices.



Some results on the generalized numerical ranges of nonsquare matrices

Mohsen Zahraei

Department of Mathematics, Islamic Azad University, Ahvaz Branch, Ahvaz,Iran;

[email protected]

Abstract

In this talk, we introduce the notion of k−rank numerical range of a non

square matrix A =

(A1

A2

)∈ Mn×m (n > m) with respect to the matrix

In,m =

(Im0

). Some algebraic and geometrical properties are investi-

gated.


Approximate Roberts orthogonality

Ali Zamani


[email protected]

Abstract

In a real normed space we introduce two notions of approximate Robertsorthogonality as follows:

x ⊥εR y iff

∣∣∣∥x+ ty∥2 − ∥x− ty∥2∣∣∣ ≤ 4ε∥x∥∥ty∥ for all t ∈ R ;

and

x ⊥εR y iff

∣∣∣∥x+ ty∥ − ∥x− ty∥∣∣∣ ≤ ε(∥x+ ty∥+ ∥x− ty∥) for all t ∈ R .

We study class of linear mappings preserving the approximately Robertsorthogonality of type ⊥ε

R.



The solution of interval system of matrix equations

A. Rivaz 1 and S. Zangoei Zadeh2 ∗

1 Mahani Mathematical Research Center, University of Kerman, Kerman, Iran;[email protected]

2Department of Mathematics,University of Kerman, Kerman, Iran;

[email protected]

Abstract

In this talk, we consider an interval system of matrix equations as{A11X + Y A12 = C1,A21X + Y A22 = C2.

We define a solution set for this system and then we present a direct methodand an iterative method for solving this interval system.


Posters

Posters 49

An iterative method for the least squares symmetricsolution of the linear matrix AXB = C

Badrosadat Afzali Borujeni1∗, Farhad Khaksar Haghani 2 and RezaKhoshsiar Ghaziani 3

1,2 Department of Applied Mathematics, Islamic Azad University ShahrekordBranch, Shahrekord,Iran .


3 Department of Applied Mathematics, Shahrekord University, ShahrekordBranch, P. O. Box 115, Shahrekord, Iran.

[email protected]

Abstract

An iterative method is presented to solve the minimum Frobenius normresidual problem: min∥AXB −C∥ with unknown symmetric matrix X. Bythis iterative method, for any initial symmetric matrixX0, a solutionX∗ canbe obtained within finite iteration steps in the absence of roundoff errors,and the solution X∗ with least norm can be obtained by choosing a specialkind of initial symmetric matrix. Given numerical examples are show thatthe iterative method is quite efficient.

Time: Thr, 09:00 Panel: 1

Note to the gradient-based iterative algorithm for solvingSylvester tensor equations

Fatemeh Panjeh Ali Beik1 and Salman Ahmadi-Asl2∗

Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 518,Rafsanjan, Iran;


Abstract

More recently, Chen and Lu [Math. Probl. Eng., DOI: 10.1155/2013/819479]have proposed an iterative algorithm to solve the Sylveter tensor equation.More precisely, the gradient-based iterative algorithm has been developedfor finding the unique solution of the mentioned Sylveter tensor equation.In this paper we demonstrate that how an oblique projection technique canbe applied to propound a modified algorithm which surpasses the proposedalgorithm in the earlier refereed work without setting the restriction of theexistence of the unique solution.


50 Posters

Matrix IDR(s)-proto

Azita Tajadini1, Najmeh Azizi zadeh2∗and Elham Ostovar3

1,2 Department of Applied Mathematics, Shahid Bahonar University of Kerman,P. O. Box 76169, kerman 14111, Iran;


3 Department of Mathematics, Islamic Azad university of Kerman, Kerman , Iran;

math [email protected]

Abstract

The IDR(s)-proto based on the induced dimension reduction theorem, isa new class of efficient algorithms for large nonsymmetric linear systems.IDR(s) generates residuals that are forced to be in a sequence of nestedsubspaces. In this paper, a variant of the IDR theorem is given, then thematrix IDR(s),based on the variant IDR(s) theorem, is proposed.


Some inequalities involving closed range operators

Mojtaba Bakherad



Abstract

Suppose S,X ∈ B(H) such that S is closed range operator. We establishseveral unitarily invariant norm inequalities involving closed range opera-tors. In particular, we show∣∣∣∣∣∣∣∣∣S∗XS† − S†XS∗

∣∣∣∣∣∣∣∣∣ ≤ 1

2∥S∥2

∣∣∣∣∣∣∣∣∣S∗XS† + S†XS∗∣∣∣∣∣∣∣∣∣ .


Posters 51

Numerical solution of Fredholm integral equation

Mohammad Zarebnia1, Maryam Derakhshan Khanghah2∗and HadiFeyzollahzade3

Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367,Ardabil, Iran;


[email protected]

Abstract

In this paper, quadratic rules for obtaining approximate solution of definiteintegrals using spline quasi-interpolants will be illustrated. The methodis applied for solving the linear Fredholm integral equation of the secondkind. Then we give a few test examples to illustrate the accuracy and theimplementation of the method.


Spline quasi-interpolants method for solving tripleintegrals

Mohammad Zarebnia1, Maryam Derakhshan Khanghah2∗

Department of Mathematics, Mohaghegh Ardabili University of Ardabil,56199-11367, Ardabil, Iran;


Abstract

In this paper, quadratic rules for obtaining approximate solution of definiteintegrals as well as single and triple integrals using spline quasi-interpolantswill be illustrated. The method is applied to a few test examples.


52 Posters

Two new families of iterative methods of optimaleight-order convergence for solving nonlinear equations

Tahereh Eftekhari

Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran;

[email protected]

Abstract

In this paper, two new families of iterative methods of optimal eight-order forsolving nonlinear equations by using weight function methods is presented.Per iteration the new methods require three evaluations of the function andone evaluation of its first derivative. Therefore, these families of methodsHave the efficiency index which equals 1.682. Kung and Traub conjecturedthat a multipoint iteration without memory based on n evaluations couldachieve optimal convergence order 2n−1. Thus, we provide two new classwhich agrees with the conjecture of Kung-Traub for n = 4.


Two-point methods with memory for solving nonlinearequations

Tahereh Eftekhari

Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran;

[email protected]

Abstract

In this paper, based on iterative methods without memory proposed byHafiz and Bahgat [M.A. Hafiz and Mohamed S.M. Bahgat, Solving nons-mooth equations using family of derivative-free optimal methods. J. Egyp-tian Math. Soc., 21 (2013), 38-43], two iterative methods with memory ispresented. We show that the order of convergence is increased without anyadditional function evaluations. Numerical comparisons are made to showthe performance of the presented methods.


Posters 53

Characterizing Jordan derivations of some algebrasthrough zero products

Hoger Ghahramani

Department of Mathematics, University of Kurdistan, P. O. Box 416, Sanandaj,Iran;


Abstract

Let A be an algebra, M be an A-bimodule and let D : A → M be a linearmap satisfying D(a)b + aD(b) +D(b)a + bD(a) = 0 whenever a, b ∈ A aresuch that ab = ba = 0. If A is a C∗-algebra with D continuous or A is amatrix algebra, then there exists a derivation δ : A → M such that D isequal to δ plus elementary operators.


Numerical solution of nonlinear b-equation via radialbasis functions

Zahra Heidari Darani

Department of Science, Arak University, Arak, Iran;

heidari−[email protected]

Abstract

Radial basis functions (RBFs), have important role in solving partial differ-ential equations as a mesh free method. Interpolation with RBFs, is verysuitable because they depend only on distance of distributed points. In thispaper we solve nonlinear modified Camassa-Holm and Degasperis-Procesiequations numerically using radial basis functions.


54 Posters

Linear functions preserving sr-majorization(rsr-majorization) on R2 (R2)

Asma Ilkhanizadeh Manesh

Department of Pure Mathematics, Vali-e-Asr University of Rafsanjan, P. O. Box7713936417, Rafsanjan, Iran;


Abstract

For x, y ∈ Rn (x, y ∈ Rn), we say that x sr-majorized (rsr-majorized) by y(write as x ≺sr y (x ≺rsr y)) if for some symmetric row stochastic matrixR with all its main diagonal entries equal, x = Ry (x = yR). In this paper,the structure of all linear functions T : R2 → R2 (T : R2 → R2), preserving(or strongly preserving) ≺sr (≺rsr) are characterized.


Continuous representability of interval orders

Zohreh Jamal Kashani1∗and Behnam Bazigaran2

Department of Pure Mathematics, University of Kashan, Kashan, Iran;1zohreh [email protected]@kashanu.ac.ir

Abstract

In this article, we study the continuous representability of interval orders.For this mean, we introduce the interval order and consider its representa-tion.


Banach spaces and continuous representability property

Zohreh Jamal Kashani1∗and Behnam Bazigaran2

Department of Pure Mathematics, University of Kashan, Kashan, Iran;1zohreh [email protected]@kashanu.ac.ir

Abstract

In this article we define the Banach space endowed with weak topologyas a topological space that satisfies continuous representability property(CRP ).


Posters 55

On the collection WPFn of matrices

Fatemeh Khalooei1∗and Shirin Riyahiyan Eshkor2

Department of Pure Mathematics, Shahid Bahonar University of Kerman,Kerman;

1f [email protected] [email protected]

Abstract

WPFn is the set of all real n × n matrices for which the spectral radiusis an eigenvalue and the corresponding eigenvector is nonnegative. Herewe characterize WPFn for which the spectral radius is simple and strictlydominant. Also, by this characterization, we prove that A ∈ WPFn ifand only if A is eventually nonnegative, when spectral radius is simple andstrictly dominant.


Fuzzy linear independence and effect of lineartransformations on the fuzzy linear independence

Tayebe Mashhuri1∗and Franak Hosein Zade Saljooghi 2

1 Elmi-karbordi University of Boshrooye, P. O. Box 97816-13177, Boshrooye, Iran;[email protected]

2 Department of Mathematics, Faculty of Mathematics, University of Sistan andBluchestan, Zahedan, Iran;

f h saljooghi.com

Abstract

In this paper, we investigate Fuzzy linear independence and examine whetherbasic linear transformations in R2, such as rotations, scales, reflections,shears preserve fuzzy linear independence. We provide some examples tothe contrary.


56 Posters

Some result of Orthonormal bases in Hilbert C∗-modules

Mehdi Mohammadzadeh Karizaki1∗and Mahmoud Hassani2

Department of Mathematics, Islamic Azad University of Mashhad, Mashhad, Iran;1 [email protected]

[email protected]

Abstract

The paper describes some basic properties of adjointable operator and φ-morphisms on orthonormal basis for Hilbert C∗-modules. Moreover by min-imal projection property of orthonormal basis for Hilbert C∗-modules, weobtain some results.


A method for the decomposition of vector spaces

Ali Parsian1∗and Zahra Parsian2

1 Department of Mathematics, Tafresh University, Tafresh, Iran;[email protected]

2 Department of Computer Engineering, Faculty of Engineering, ShahedUniversity, Tehran, Iran;

[email protected]

Abstract

In this note we establish a general method for the decomposition of vectorspaces by considering relatively prime polynomials instead of irreducibleones.


Posters 57

A note on constructing UMVU for general variance insimple quadratic and cubic nef’s on ℜd

Mohsen Rezapour

Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran;

[email protected]

Abstract

This paper concerns some modifications and generalizations of previous re-sults, related to constructing uniformly minimum variance unbiased (UMVU)estimators for general variance function of some Natural Exponential Fam-ilies (NEF’s). Some illustrating examples are provided for this result. Thispaper concerns some modifications and generalizations of previous results,related to constructing uniformly minimum variance unbiased (UMVU) es-timators for general variance function of some Natural Exponential Families(NEF’s). Some illustrating examples are provided for this result.


Solving an special type of infinite boundaryintegro-differential equations by using Laguerre

polynomials

Mashallah Matinfar1, Abbas Riahifar2∗and Farhad Khazaie3

1 Department of Applied Mathematics, Mazandaran University of Babolsar, P. O.Box 47416, Babolsar 95447, Iran;

Centre of Excellence in Numerical Analysis (CENA), Mazandaran University ofBabolsar, Babolsar, Iran;[email protected]

2,3 Department of Mathematics, Payame Noor University of Nowshahr,Nowshahr, Iran.

[email protected]

[email protected]

Abstract

In this paper, we present a matrix method to solve infinite boundary in-tegro-differential equations (IBI-DE) of the second kind with degeneratekernel in terms of Laguerre polynomials. Properties of these polynomialsand operational matrix of integration are first presented.


58 Posters

Numerical solution of convection-diffusion equation usingquintic B-splines collocation method via algebraic solution

with Neumann’s boundary conditions

Parisa Safari1∗, Safar Irandost2 and Reza Dadbakhsh3

1Department of applied Mathematics, Faculty of Mathematics, University ofMohaghegh Ardabili, Ardabil, Iran;

[email protected]

2Department of applied Mathematics,Faculty of Mathematics,University ofTabriz, Tabriz, Iran;

[email protected] Department of Electrical,Faculty of Electronic Education , University of Shiraz,

Shiraz, Iran;

[email protected]

Abstract

In this work we will discuss the solution of convection-diffusion partial dif-ferential equations with Neumann’s boundary conditions by using the collo-cation method with quintic B-splines.we discretize the time derivative withCrank Nicolson scheme and handle spatial derivatives with quantic B-s-plines. The implementation of algorithm for this method is very easy andeconomical. The accuracy of the numerical solutions indicates that the pre-sented method is well suited for convection-diffusion equations with Neu-mann’s boundary conditions.


Projections on a left quaternionic Hilbert space

M. Fashandi1 and E. Sepahi2 ∗

Faculty of Mathematical Sciences, Ferdowsi University of Mashhad,P. O. Box 1159, Mashhad 91775, Iran;

[email protected]−[email protected]

Abstract

In this paper, we study projections on a quaternionic Hilbert space and provesimilar properties of projections on complex Hilbert spaces in quaternionicvesion.


Posters 59

Linear algebraic methods applied for polynomial division

Amir Amiraslani1, Nikta Shayanfar2 and Salman Yazdani3∗

1 STEM Department, University of Hawaii-Maui College, Kahului, HI 96732,USA.

[email protected]

2 Department of Mathematics, K. N. Toosi University of Technology, Tehran,Iran.

[email protected]

3 Department of Mathematics, Binaloud University of Mashhad, Mashhad, Iran.

[email protected]

Abstract

The current paper studies the division of a polynomial of degree n by apolynomial of degree m in the Lagrange basis and finding the quotient andremainder directly without changing the basis. The algorithms proceed bysetting up systems of linear equations for the coefficients of the quotientand remainder. Then solutions are computed by using LU factorizationmethod.


The solution of positive definite or diagonally dominantsystems

Elham Zamani Poor

[email protected]

Abstract

We propose a new direct method to solve linear systems. This method isbased on the Sherman-Morrison formula and uses a finite iterative formula.If the coefficient matrix of linear system be a diagonally dominant or positivedefinite matrix, then this method can be actually carried out.


نویسندگان فهرست

١٠ ،بابایی، اسماعیل٣ کمال، اعتصامی،٨ محمد، الباجی،

١١ اسماعیل، بابایی،٨ پروین، شهرکی، بقائی٩ سعید، سوها، بهبودی

٩ لیال، جعفری،٣ مریم، صادقی، حاجی٣ مجتبی، پور، حاجی٩ مریم، سیده حسینی،

١٣ الهام، حسینی،۴ غالمعلی، حیدری،١٠ مریم، رحیمیان،

۵ عظیم، ریواز،١٠ ،یوسف، زمانی١١ یوسف، زمانی،۶ صادق، زیبایی،

١۴ پرویز، سرگلزائی،۵ فاطمه، ساردو، سلیمانی۵ مریم، سوالری، شمس٩ مصطفی، سید صدیق،

١٠ بهناز، ضعیفی،۵ نجمه، زاده، عزیزی١٣ سهراب، عفتی،٨ قاسم، پور، علی

١٠ سمانه، ، قابل١١ راضیه، قربانی،

۴ اکبر، علی� قره�ویس،٨ عبداله، قلی�زاده،

۶ جواهر، لنگری،١٣ فاطمه، مقبلی،١٣ امین، منصوری،١۴ ،۴ الهام، نادری،

١۴ ،۴ علی�محمد، نظری،۶ ، فهیمه زاده، ولی۴ محمدعلی، ولی،٩ مهدی، پناهی،

۶ رجبعلی، گل، کامیابی١٠ اصغر، چیان، کرایه

١١ جواد، کریمی،١٣ حمید، کمالی،

١٠ احسان، نائینی، یثربی١۴ پروین، یگانه،

١

سخنرانی�ها

سخنرانی�ها ٣

با دیفرانسیل معادالت حل برای ماتریسی تاو روش سازی پیش�شرطجزئی مشتقاتپور حاجی مجتبی

بجنورد دانشگاه پایه، علوم دانشکده ریاضی، گروه[email protected]

چکیدهمشتقات با دیفرانسیل معادالت حل برای محاسباتی تاو روش سرعت و کارایی مقاله، این دراعمال با خطی، مسائل در می�شود. داده بهبود مناسب ساز پیش�شرط یک از استفاده با جزئیمرتبه از مربعی ماتریس M که می�شود حاصل Ma = F ماتریسی معادله نهایتا تاو، روش،n افزایش با استاندارد تاو روش در است. روش تقریب درجه n و (n + ۱)۲ × (n + ۱)۲می�کنیم معرفی را جدیدی کوششی و آزمون توابع لذا می�شود، بزرگ سرعت به M حالت عددهمچنین می�شود، M ماتریس حالت عدد کنترل برای مناسب ساز پیش�شرط یک به منجر کهروش این کارایی بیانگر عددی نتایج می�کنیم. مقایسه استاندارد تاو روش با را آمده بدست روش

است.

٣ اتاق: ٠٩:٢٠ پنج�شنبه، زمان:

با الکترومغناطیسی امواج معکوس پراکندگی در اجسام شکل بازسازیتجزیه و تیخونوف سازی منظم از استفاده با خطی برداری نمونه روش

تکین مقادیراعتصامی۲ کمال ∗و صادقی۱ حاجی مریم

اشتر مالک صنعتی دانشگاه کاربردی، علوم مجتمع ریاضی، گروه[email protected]۱

[email protected]۲

چکیدهبا الکترومغناطیس امواج معکوس پراکندگی در اجسام شکل بازسازی چگونگی به مقاله این دراول نوع فردهلم انتگرالی معادله یک حل به منجر روش این می�پردازبم. خطی برداری نمونه روشبدوضعی مشکل رفع برای را تکین مقادیر تجزیه و تیخونوف سازی منظم روش می�شود. بدوضعجسم شکل می�شود، نامتناهی مرز روی شده منظم جواب نرم -L۲ اینکه از و کاربرده به مسئله

می�کنیم. بازسازی را

۴ اتاق: ١٠:٠٠ پنج�شنبه، زمان:

۴ سخنرانی�ها

نظریه بر تکیه با آزاد نهايی حالت با بهینه کنترل مسئله حل برای روشیخطی ریزی برنامه و اندازه

۳ قره�ویس اکبر علی� و ولی۱ محمدعلی ،∗ ۱ حیدری غالمعلی

ریاضی بخش کرمان باهنر شهید دانشگاه ۱,۲[email protected] [email protected]

برق مهندسی بخش کرمان باهنر شهید ۳دانشگاه[email protected]

چکیده

مرجع مدل کنترل همچون پیشرفته کنترل سیستم�های در آزاد نهایی حالت با بهینه کنترل مسئلهسیستم�های در خطی ریزی برنامه و اندازه نظریه بر مبتنی روش�های بکارگیری دارد. اهمیت بسیارحالت با بهینه کنترل مسئله زمینه در ولی است؛ بوده بررسی مورد وسیعی طور به پیوسته زمانقیود در تغییر با تا است شده سعی مقاله این در می�باشند. محدودتر مطالعات این آزاد نهایی

گردد. ارائه مذکور روش�های با مسئله این حل برای ساده�ای نسبتا روش خطی، ریزی برنامه

۴ اتاق: ٠٩:٢٠ پنج�شنبه، زمان:

با دوری یک گراف�های الپالسی ویژه مقدار بزرگترین دومین بررسیλ۲ ≤ ۱

۲ نادری الهام ∗و ۱ نظری علی�محمد

اراک دانشگاه ریاضی، علوم دانشکده ریاضی، گروه[email protected]۱

[email protected]۲

چکیده

در می�گوییم. دوری یک گراف باشد، برابر رئوسش تعداد با یال�هایش تعداد که را همبندی گرافویژه�ی مقدار بزرگترین دومین بررسی به λ۲ ≤ ۱ با دوری یک گراف�های میان در مقاله این

می�پردازیم. الپالسی

٣ اتاق: ١۵:٢٠ چهار�شنبه، زمان:

سخنرانی�ها ۵

مثبت معین شبه ماتریسهای از خواصی بوسیله ویژه مقدار کوچکترینسوالری شمس مریم

تهران نور پیام دانشگاه ریاضی، علوم دانشکده[email protected] , [email protected]

چکیده

خواصی بوسیله را متقارن یا هرمیتی ماتریسهای ویژه مقدار کوچکترین کنیم می سعی مقاله این درتجزیه در شناور ممیز خطای از استفاده با کار این کنیم. پیدا مثبت معین شبه ماتریسهای ازمی گیرد. می انجام کردن گرد و محاسباتی خطاهای کلیه گرفتن نظر در امکان حد تا و چولسکیمقدار یک حداقل نیست مثبت معین شبه که متقارن یا و هرمیتی ماتریس یک داد نشان توان

دارد. منفی ویژه

٣ اتاق: ١١:٢٠ چهار�شنبه، زمان:

تیخونوف منظم�ساز روش از استفاده با ماتریسی معادله یک حل∗ زاده۳ عزیزی نجمه و ۲ ریواز عظیم ساردو۱، سلیمانی فاطمه

کرمان باهنر دانشگاه کامپیوتر، و ریاضی علوم دانشکده ریاضی، گروه[email protected]۱

[email protected]۲

چکیده

نویز دارای آن راست سمت که بدوضع ماتریسی معادله دستگاه نوع یک حل به مقاله این درجواب در نویز این تأثیر کاهش منظور به تیخونوف ساز منظم روش می�شود. پرداخته می�باشد،ماتریسی معادله دستگاه ضرایب ماتریس اینکه به توجه با می�گیرد. قرار استفاده مورد تقریبی،آرنولدی فرآیند اینجا در که می�شود استفاده نیز تصویری روش�های از می�باشد تنک شده انتخاب

می�گیرد. قرار استفاده مورد یافته تعمیم

۴ اتاق: ١١:٠٠ چهار�شنبه، زمان:

۶ سخنرانی�ها

موجک و فیلتر کمک به ECG سیگنال نویز نرخ محاسبهگل۲ کامیابی رجبعلی ۱∗و زاده ولی فهیمه

[email protected]@math.um.ac.ir

چکیدهاولیه، تشخیص در را مهمی نقش (ECG) الکتروکاردیوگرام سیگنال�های اخیر، سال�های دراست زمان با متغیر سیگنالی ،ECG سیگنال داشته�اند. برعهده قلبی بیماری تحلیل و پیش�بینیمکانیکی و الکتریکی وسایل انواع که حاضر زمان در می�گیرد. اندازه را قلب الکتریکی فعالیت کهبه منجر که بگذارند اثر یکدیگر روی می�توانند سادگی به بوده کار به مشغول محدود فضایی درموجودند ناخواسته عواملی همواره سیگنال یک ثبت هنگام در بنابراین می�شوند، نویزها پیدایشناخواسته عوامل و نویزها این بردن بین از برای می�شوند. سیگنال واقعی و عینی دریافت مانع کهواقع در و و فرکانس اساس بر سیگنال�ها جداسازی فیلترها کار اساس می�شود، استفاده فیلترها ازدو ماتریسدر صورت به که هستند عملگرهایی همان ریاضی بیان به فیلترها می�باشد. نویز حذفECG سیگنال نویز کاهش برای پژوهش این در می�باشند. تعریف قابل فرکانس و زمان حوزهاستفاده ECG سیگنال پردازش مرحله در موجک�ها از و بازسازی و آنالیز مرحله در فیلترها از

است. شده رسیده ECG سیگنال نویز کاهش با رابطه در خوبی نتایج به که است شده

٢ اتاق: ١۵:۴٠ چهار�شنبه، زمان:

دوگانه تصادفی ماتریسهای برای معکوس ویژهی مقدار مسألهی حل۲ لنگری جواهر ∗و ۱ زیبایی صادق

رفسنجان عصر ولی دانشگاه ریاضی، علوم دانشکده ریاضی، گروه ۱[email protected]

بجنورد کوثر دانشگاه ریاضی، ۲گروه[email protected]

چکیدهمیپردازیم. دوگانه تصادفی ماتریسهای برای معکوس ویژهی مقدار مسألهی حل به مقاله این دربرای را میشود روز به یک رتبه و هولدر هاوس ماتریسهای طریق از که کارا الگوریتمی ابتداکننده تضمین که کافی شرایط سپس میکنیم معرفی متقارن معکوس ویژهی مقدار مسألهی حل

میکنیم. بیان را است دوگانه تصادفی ماتریسهای

۴ اتاق: ٠٩:٠٠ پنج�شنبه، زمان:

پوسترها

٨ پوسترها

داخلی ضرب فضاهای و دوقلوها پارادوکس خاص، نسبیتالباجی محمد

اهواز چمران شهید دانشگاه ، ریاضی علوم دانشکده[email protected]

چکیدههندسه تولید در خطی جبر پذیری انعطاف وسپس پرداخته دوقلوها پارادوکس بیان به مقاله دراین

شود. می آشکار پارادوکس این توجیه برای نااقلیدسی ای١ تابلو: ٠٨:۴۵ پنج�شنبه، زمان:

غیر یافته تعمیم های نگاشت از رده یک برای ثابت نقطه قضایایانبساطیپور علی قاسم

تبریز دانشگاه ریاضی، علوم دانشکده[email protected]

چکیدهمعرفی (C) شرط نام به غیرانبساطی یافته تعمیم های نگاشت از جدید رده ابتدا مقاله این درنیز و می�باشد ها غیرانبساطی شبه از تر قوی و ها غیرانبساطی از تر ضعیف که شرطی می�گردد.

می�گیرد. قرار مطالعه مورد ها نگاشت این ثابت نقاط وجود٢ تابلو: ٠٨:۴۵ پنج�شنبه، زمان:

موج زمان به وابسته جزئی دیفرانسیل معادله برای MFS۲ قلی�زاده عبداله ∗و ۱ شهرکی بقائی پروین

سبزواری حکیم دانشگاه ریاضی، علوم دانشکده ریاضی، گروه[email protected]۱ [email protected]۲؛

چکیدهدوم مرتبه زمان به وابسته جزئی دیفرانسیل معادله یک چگونه که می�دهیم نشان مقاله این دربه�طور ناهمگن تعمیمم�یافته هلمهلتز معادله از جمالتی در معادله این کردن فرموله با موج) (معادلهبدست معادالت این برای که تحلیلی خصوصی جواب�های از استفاده با می�شود. حل عددیبا مؤثری به�طور که می�شود منجر ناهمگن هلمهلتز معادله حل به حاصل مرزی مقدار مسئله آمده،جهت این از کاراست حاصل الگوریتم می�شود. انجام (MFS) اولی جواب�های روش از استفاده

ندارند. نیاز مرز یا دامنه گسسته�سازی به که١ تابلو: ٠٨:۴۵ پنج�شنبه، زمان:

پوسترها ٩

چبیشف-هالی روش�های خانواده�ی برای بهینه پارامترجعفری۳ لیال و ۲ صدیق رجائی مصطفی سید ،∗ ۱ سوها بهبودی سعید

زنجان دانشگاه ریاضی، علوم دانشکده ریاضی، گروه ۱,۳[email protected]

[email protected]شبستر واحد اسالمی آزاد دانشگاه ریاضی، علوم دانشکده ریاضی، گروه ۲

[email protected]

چکیده

معادالت حل برای هالی - چبیشف روش�های خانواده�ی برای مناسب پارامتر یک مقاله این درروشچبیشف، اویلر، روش جمله از هالی - چبیشف روش�های خالف بر که می�کنیم پیدا غیرخطیتقریب نقطه از استفاده با بلکه نیست دلخواه دیگر پارامتر این هالی، سوپر روش و هالی روشکارایی عددی نتایج می�آید. بدست آن دوم و اول مشتق و شده داده معادله و ریشه) (نزدیک اولیه

می�کنند. تائید را شده ارائه روش

٣ تابلو: ٠٩:٠٠ پنج�شنبه، زمان:

ماتریس دو آدامار حاصل�ضرب طیفی شعاع برای جدیدی باالی کراننامنفی

۲ پناهی مهدی ∗و ۱ حسینی مریم سیده

بیرجند دانشگاه آمار، و ریاضی علوم دانشکده ریاضی، گروه[email protected]۱

[email protected]۲

چکیده

طیفی شعاع برای جدیدی باالی کران مقاله این در باشند. نامنفی ماتریس دو B و A کنید فرضوابسته B و A درایه�های به تنها کران این می��شود. ارائه B و A ماتریس�های آدامار حاصل�ضرب

می�باشد. محاسبه قابل راحتی به بنابراین است،

٢ تابلو: ٠٩:١۵ پنج�شنبه، زمان:

١٠ پوسترها

تصویر الگوگذاری در تکین مقدار تجزیه کاربرد۲ چیان کرایه اصغر ∗و ۱ رحیمیان مریم

مشهد فردوسی دانشگاه ریاضی، علوم دانشکده ریاضی، گروه[email protected] ۱

[email protected] ۲

چکیدهمی�دهیم. ارائه تکین مقدار تجزیه از استفاده با تصویر الگوگذاری برای جدیدی روش مقاله این در[؟] حسین بن توسط شده ارائه روش و بوده تصویر ماتریس سازی بلوکی بر مبتنی روش اینبودن نامرئی میزان افزایش و شده جاسازی الگوی مقاومت افزایش موجب و می�بخشد بهبود رادر می�تواند شده پیشنهاد روش که می�دهند نشان آزمایشی نتایج می�گردد. شده الگوگذاری تصویرفشرده برابر در شده جاسازی الگوی مقاومت و شده الگوگذاری تصویر کیفیت به بخشیدن بهبود

باشد. مؤثر سازی

١ تابلو: ٠٩:١۵ پنج�شنبه، زمان:

جمع ضرایب ماتریس با معكوس مسئله�ی حل برای روش یک ارائه�یآن ستون و سطر در واقع درایه�های ثابت

۲ نائینی یثربی احسان سید ∗و ۱ ضعیفی بهناززاهدان بلوچستان، و سیستان دانشگاه ریاضی، گروه ۱

[email protected]حیدریه تربت حیدریه، تربت مهندسی و فنی دانشکده كامپيوتر، گروه ۲

[email protected]

چکیده(X,B ∈ ،AX = B خطی معادالت دستگاه�های حل برای جدید روش یك مقاله، این درآن ستون و سطر در واقع درایه�های جمع که A ∈ Rn×n مجهول ماتریس با Rn×m m ≤ n)

یاد معكوس مسئله�ی به آن از كه مسئله این می�گردد. ارائه می�باشد، a ∈ R ثابت عدد برابربامور-پن�رز، معکوس از استفاده مانند معمول شیوه�های بردن به�كار و ندارد جواب اغلب می�شود،کم کمک به كه می�شود پیشنهاد الگوریتمی ادامه در نمی�دهند. ارائه اطمینان قابل معموالجوابرا تقریب بهترین با جوابی می�تواند (SV D) منفرد مقادیر تجزیه�ی و خطا مربعات حداقل کردن

بیابد.

١ تابلو: ٠٩:۴۵ پنج�شنبه، زمان:

پوسترها ١١

باال های ماتریس از یافته تعمیم ماتریسی تابع مقدار حافظ های ماتریسمثلثی

۳ بابایی اسماعیل و ۲ زمانی یوسف ،∗ ۱ قابل سمانهسهند صنعتی دانشگاه پایه، علوم دانشکده ریاضی، گروه

[email protected]۱

[email protected]۲e−[email protected]۳

چکیدهفرض باشد. H از تحویل�ناپذیر سرشت یک χ و Sn متقارن گروه از گروهی زیر H کنید فرضمطالعه مقاله این اصلی هدف باشد. χ و H با متناظر یافته تعمیم ماتریسی تابع dHχ کنید

خاصیت طوری�که به است A ∈ Mn(F ) ماتریس�های مجموعه ،T(H,χ)

dHχ (AX) = dHχ (X)

می�باشد. n×n مثلثی باال ماتریس�های مجموعه TUn (F ) که باشد، Xبرقرار ∈ TU

n (F ) هر برایمی�کنیم. مشخص کامل به�طور را ماتریس�ها این حاالت برخی در

٢ تابلو: ٠٩:۴۵ پنج�شنبه، زمان:

تجزیه�پذیر بحرانی -λ تانسورهای۳ بابایی اسماعیل و ۲ زمانی یوسف ،∗ ۱ قربانی راضیهسهند صنعتی دانشگاه ، پایه علوم دانشکده ریاضی، گروه

[email protected]۱

[email protected]۲e−[email protected]۳

چکیدهC روی متناهی بعد با برداری فضای یک V و m از افرازی λ = (λ۱, ..., λs) کنید فرضو λ با متناظر تانسوری تقارن رده و λ با را λ افراز با متناظر Sm تحویل�ناپذیر سرشت باشد.z j-ریچ مفهوم باشد. z ∈ Vλ و j ∈ {۱, ..., λ۱} کنید فرض می�دهیم. نشان Vλ با را Vچندجمله�ایهای همچنین می�شود. تعریف Vλ در λ-بحرانی عنصر مفهوم، این کمک به و تعریفبرابر چندجمله�ایها این مشترک ریشه�های مجموعه که می�شوند ساخته گونه�ای به یافته تعمیم پالکر

است. Vλ تجزیه�پذیر λ-بحرانی عناصر مؤلفه�های خانواده�های مجموعه

٢ تابلو: ٠٩:۴۵ پنج�شنبه، زمان:

١٢ پوسترها

خطی ای بازه و فاری معادالت حل برای جدیدی روشکریمی جواد

دامغان پایه علوم دانشگاه[email protected]

چکیدهمبنای بر ای بازه و فازی معادالت جواب آوردن بدست برای روشی بررسی مقاله این از هدفمحوریت شود. می نامیده صفر ی بازه عنوان به که هاست بازه گسترش از ای یافته تعمیم روشاست. صفر مرکزیت به و مثبت باشعاع ای بازه عنوان به صفر ی بازه رفتار روش این در ما بحث

هاست. بازه تفریقی عملکرد از مستقیمی نتیجه روش این درواقعاز استفاده با خطی ای بازه معادالت جواب که دارد اشاره مطلب این به شده داده نشان نتایجشوند. گرفته نظر در فازی عدد عنوان به طبیعی صورت به تواند می مقاله این در پیشنهادی روشدیگر عبارت به دهد، می کاهش را ها بازه پهنای که است این روش این مهم های فایده از یکیبازه و فازی معادالت حل برای کاربردی ابزار یک عنوان به آمده بدست بازه که داد خواهیم نشان

است. آن های دستگاه خوبی به خطی ای

٣ تابلو: ٠٩:۴۵ پنج�شنبه، زمان:

ناپذیر قطری ماتریس�هایمنصوری۳∗ امین و کمالی۲ حمید عفتی۱، سهراب

مشهد فردوسی دانشگاه ریاضی، علوم دانشکده ریاضی، گروه[email protected]۱

[email protected]۲

[email protected]۳

چکیدهناپذیر قطری ماتریس�های باالی توان�های کردن پیدا برای جدید روشی دنبال به مقاله این دردر است. بوده امکان�پذیر ژوردان فرم�های توسط باال توان�های این محاسبه اکنون تا هستیم.نشان و می�آوریم بدست ماتریس ویژه مقادیر از بازگشتی دنباله�ای جدید، روشی ارائه با جا اینماتریس هر کلی حالت در و ناپذیر قطری ماتریس�های باالی توان�های می�توان چگونه می�دهیم

نمود. محاسبه است داشته وجود تاکنون آنچه به نسبت باالتر سرعت با را مربعی

٢ تابلو: ١٠:٠٠ پنج�شنبه، زمان:

پوسترها ١٣

مثلثات با داخلی ضرب فضاهای از جدیدی مشخصه�سازیحسینی۲ الهام ∗و ۱ مقبلی فاطمه

پایه. علوم دانشکده خیام، عالی آموزش موسسه[email protected] ۱

[email protected]۲

چکیدهبررسی را کند می تبدیل داخلی ضرب فضای به را نرم�دار فضای که هایی ویژگی مقاله این درضرب فضای از دیگر مشخصه�ای انحرافی زاویه فاصله و زاویه�ای فاصله از استفاده با و می�نماییمرا جدیدی مشخصه�ی اویلر-الگرانژ ی مشخصه از استفاده با همچنین می�کنیم. بیان نیز را داخلی

دهیم. می ارائه مثلثات کمک به

٢ تابلو: ١٠:٠٠ پنج�شنبه، زمان:

(SSV D) تاکاگی تجزیه محاسبه روش چند مقایسه∗ ۲ یگانه پروین و ۱ سرگلزائی پرویز

بلوچستان و سیستان دانشگاه ریاضی، دانشکده ریاضی، گروه[email protected]۱

[email protected] ۲

چکیدهارائه مختلط متقارن های ماتریس (SSV D) تاکاگی تجزیه محاسبه برای روش سه مقاله این درضمنی. QR روش و تسخیر و تقسیم روش دوگانه، تجزیه روش از: عبارتند ها روش شود. میهای ماتریس نام به خاصی مختلط متقارن های ماتریس روی بر محاسبات است ذکر به الزمQR روش نامناسبی دهنده نشان روش سه این مقایسه و محاسبات گیرد. می انجام هنکلدوگانه تجزیه روش بر هنکل ماتریس بزرگ های اندازه در تسخیر و تقسیم روش برتری و ضمنی

باشد. می

٣ تابلو: ١٠:٠٠ پنج�شنبه، زمان:

The 7th Seminar on Linear Algebra and its Applicationsprofsite.um.ac.ir/~math/Abstracts_English_Farsi.pdf · their latest results about all aspects of linear algebra and its applica-

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