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

reportActive / Technical Report | Accession Number: AD0768879 | Need Help?

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

Author(s):
Stewart, G. W.
Author Organization(s):
CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE
Pagination:
0017

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
N00014-67-A-0314-0018
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*MATRICES(MATHEMATICS), THEOREMS), PERTURBATION THEORY, TRANSFORMATIONS(MATHEMATICS), NUMERICAL ANALYSIS, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
GERSCHGORIN CIRCLE THEOREM, EIGENVECTORS
Report Date:
1973 Oct 01