A Note on Non-Hermitian Perturbations of Hermitian Matrices,

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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

Author(s):
Stewart, G. W.
Author Organization(s):
TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS
Pagination:
0005

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CNA-41
Contract/Grant Number(s):
N00014-67-A-0126-0016
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), THEOREMS), PERTURBATION THEORY, VECTOR SPACES, INVARIANCE
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*HERMITIAN MATRICES, EIGENVECTORS
Report Date:
1972 Apr 01