Eigen Values and Eigen Vectors Eigen values and Eigen vectors are important in many areas of nu- merical computation and engineering applications. Defined as the zeros of the characteristic polynomial: f (λ)= |A - λI| Useful in analysis of convergence characteristics of iterative meth- ods Ratios of Eigen values (largest to smallest) is a measure of the con- dition of a matrix. Applications include solutions of differential equations relating to physical characteristics of a structure(such as principal stress, mo- ments of inertia, vibration analysis, etc. ITCS 4133/5133: Numerical Comp. Methods 1 Regression
13
Embed
Eigen Values and Eigen Vectors - UNC Charlotte FAQ · Eigen Values and Eigen Vectors Eigen values and Eigen vectors are important in many areas of nu-merical computation and engineering
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Eigen Values and Eigen Vectors
� Eigen values and Eigen vectors are important in many areas of nu-merical computation and engineering applications.
� Defined as the zeros of the characteristic polynomial:
f (λ) = |A− λI|
� Useful in analysis of convergence characteristics of iterative meth-ods
� Ratios of Eigen values (largest to smallest) is a measure of the con-dition of a matrix.
� Applications include solutions of differential equations relating tophysical characteristics of a structure(such as principal stress, mo-ments of inertia, vibration analysis, etc.