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

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.

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Main Authors: Lei Gao, Chaoqian Li, Yaotang Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/708128
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author Lei Gao
Chaoqian Li
Yaotang Li
author_facet Lei Gao
Chaoqian Li
Yaotang Li
author_sort Lei Gao
collection DOAJ
description 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.
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series Journal of Applied Mathematics
spelling doaj-art-05d3ae3b002a4b30bd55ce55919d6da32025-02-03T01:13:02ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/708128708128A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov MatricesLei Gao0Chaoqian Li1Yaotang Li2School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaA 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.http://dx.doi.org/10.1155/2014/708128
spellingShingle Lei Gao
Chaoqian Li
Yaotang Li
A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
Journal of Applied Mathematics
title A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
title_full A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
title_fullStr A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
title_full_unstemmed A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
title_short A New Upper Bound on the Infinity Norm of the Inverse of Nekrasov Matrices
title_sort new upper bound on the infinity norm of the inverse of nekrasov matrices
url http://dx.doi.org/10.1155/2014/708128
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