Gerschgorin Theory for the Generalized Eigenvalue Problem Ax = lambda Bx,

Abstract

A generalization of Gerschgorin's theorem is developed for the eigenvalue problem Ax = lambda Bx and is applied to obtain perturbation bounds for multiple eigenvalues. The results are interpreted in terms of the chordal metric on the Riemann sphere, which is especially convenient for treating infinite eigenvalues. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0768879

Entities

People

  • G. W. Stewart

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

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

Fields of Study

  • Mathematics

Readers

  • Linear Algebra