Accession Number : AD0746456

Title :   Ruhe's Theorem on Ill-Conditioned Eigenvalues.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY DEPT OF COMPUTER SCIENCES

Personal Author(s) : Kahan,W.

Report Date : NOV 1971

Pagination or Media Count : 10

Abstract : Recently Axel Ruhe published an inequality from which he could infer that whenever at least one of a matrix's eigenvalues is very ill-conditioned then that matrix must lie very near another whose eigenvalues are not all distinct. The paper exhibits a simpler and sometimes sharper version of that inequality. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), *INEQUALITIES), VECTOR SPACES, PERTURBATION THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE