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