Block Diagonalization and a Numerical Method of the Eigenproblem for an nÃ—n Normal Matrix

Xi-juan Lou; Hai-jun Chen; Liu Jie

doi:10.1109/CDEE.2010.87

Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems, IACIS International Symposium on

Block Diagonalization and a Numerical Method of the Eigenproblem for an nÃ—n Normal Matrix

Year: 2010, Pages: 31-33

DOI Bookmark: 10.1109/CDEE.2010.87

Authors

Xi-juan Lou
Hai-jun Chen
Liu Jie

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.

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Block Diagonalization and a Numerical Method of the Eigenproblem for an nÃ—n Normal Matrix

Authors

Abstract

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