DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click
HERE to register or log in.
Accession Number:
ADA017384
Title:
On Diagonal Dominance Arguments for Bounding the Norm of the Inverse Matrix (A) sub Infinity,
Descriptive Note:
Corporate Author:
KENT STATE UNIV OHIO DEPT OF MATHEMATICS
Report Date:
1975-01-01
Pagination or Media Count:
9.0
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.
Distribution Statement:
APPROVED FOR PUBLIC RELEASE
