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