Accession Number:

ADA030366

Title:

Perturbation Theory for the Definite Generalized Eigenvalue Problem.

Descriptive Note:

Technical rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1976-09-01

Pagination or Media Count:

16.0

Abstract:

This paper concerns perturbation theory for the generalized eigenvalue problem Ax lambdaBx where A and B are real symmetric matrices of order n or to 3. When B is positive definite, as is usually the case in applications, the problem can be reduced to a symmetric eigenvalue problem for the matrix square root of B times the square root of AB, and the wealth of perturbation theory for symmetric eigenvalue problems can be applied.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE