Accession Number : AD0768879

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

Corporate Author : CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE

Personal Author(s) : Stewart,G. W.

Report Date : OCT 1973

Pagination or Media Count : 17

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)

Descriptors :   (*MATRICES(MATHEMATICS), THEOREMS), PERTURBATION THEORY, TRANSFORMATIONS(MATHEMATICS), NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE