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

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.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA017384

Entities

People

  • Richard S. Varga

Organizations

  • Kent State University

Tags

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.