
Accession Number : AD0745006
Title : A Note on NonHermitian 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 oneone 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 nonHermitian perturbations. (Author)
Descriptors : (*MATRICES(MATHEMATICS), THEOREMS), PERTURBATION THEORY, VECTOR SPACES, INVARIANCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE