A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices

Lei Gao; Chaoqian Li; Yaotang Li

doi:10.1155/2014/708128

Journal of Applied Mathematics (Jan 2014)

A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices

Lei Gao,
Chaoqian Li,
Yaotang Li

Affiliations

Lei Gao: School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China
Chaoqian Li: School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China
Yaotang Li: School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, China

DOI: https://doi.org/10.1155/2014/708128
Journal volume & issue: Vol. 2014

Abstract

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A new upper bound which involves a parameter for the infinity norm of the inverse of Nekrasov matrices is given. And we determine the optimal value of the parameter such that the bound improves the results of Kolotilina, 2013. Numerical examples are given to illustrate the corresponding results.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

About the journal