Title :
Block Diagonalization and a Numerical Method of the Eigenproblem for an n×n Normal Matrix
Author :
Xi-juan Lou ; Hai-jun Chen ; Jie, Liu
Author_Institution :
Dept. of Math., Handan Coll., Handan, China
Abstract :
It is important that the eigenproblem of a matrix is solved in the matrix analysis and its engineering application. For a normal matrix with multiplex eigenvalues, a method of block diagonalization is given by using Householder transformation and finding eigenvectors of the tridiagonal Hermitian matrix. On the basis of this, a numerical method of finding its eigenvalues and eigenvectors is obtained.
Keywords :
Hermitian matrices; eigenvalues and eigenfunctions; Householder transformation; block diagonalization; eigenproblem; eigenvectors; multiplex eigenvalues; normal matrix; numerical method; tridiagonal Hermitian matrix; Educational institutions; Eigenvalues and eigenfunctions; Equations; Matrix decomposition; Symmetric matrices; Block Diagonalization; Eigenvalue; Eigenvector; Normal Matrix;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.87
