Accession Number : AD0745006

Title :   A Note on Non-Hermitian Perturbations of Hermitian Matrices,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Stewart,G. W.

Report Date : APR 1972

Pagination or Media Count : 5

Abstract : Let A and E be Hermitian matrices. It is well known that the eigenvalues (alpha sub i) of A and (beta sub i) of A + E can be put into a one-one correspondence in such a way that /alpha sub i - beta sub i/< or = //E//sub 2 and Summation (alpha sub i - beta sub i) squared < or = //E// sup 2, sub F. In this note similar results are established for a class of non-Hermitian perturbations. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), THEOREMS), PERTURBATION THEORY, VECTOR SPACES, INVARIANCE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE