Accession Number : ADA017384

Title :   On Diagonal Dominance Arguments for Bounding the Norm of the Inverse Matrix (A) sub Infinity,

Corporate Author : KENT STATE UNIV OHIO DEPT OF MATHEMATICS

Personal Author(s) : Varga,Richard S.

Report Date : 1975

Pagination or Media Count : 9

Abstract : In a recent paper by J. M. Varah, an upper bound for the norm of the inverse matrix (A) sub infinity was determined, under the assumption that A is strictly diagonally dominant, and this bound was then used to obtain a lower bound for the smallest singular value for A. In this note, this upper bound for the norm of the inverse matrix (A) sub infinity is sharpened, and extended to a wider class of matrices. This bound is then used to obtain an improved lower bound for the smallest singular value of a matrix.

Descriptors :   *Matrices(Mathematics), Set theory, Computations, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE