Accession Number:

AD0768879

Title:

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

Descriptive Note:

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1973-10-01

Pagination or Media Count:

17.0

Abstract:

A generalization of Gerschgorins 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE