A Note on Non-Hermitian Perturbations of Hermitian Matrices,

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0745006

Entities

People

  • G. W. Stewart

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra