Accession Number:

AD0745006

Title:

A Note on Non-Hermitian Perturbations of Hermitian Matrices,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

• Stewart,G. W.

Report Date:

1972-04-01

Pagination or Media Count:

5.0

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 Esub 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