数学研究及应用2024,Vol.44Issue(2) :170-186.DOI:10.3770/j.issn:2095-2651.2024.02.004

New Upper Bounds for the Inverse of H-Matrices Including S-SDD Matrices and Linear Complementarity Problems

Yebo XIONG
数学研究及应用2024,Vol.44Issue(2) :170-186.DOI:10.3770/j.issn:2095-2651.2024.02.004

New Upper Bounds for the Inverse of H-Matrices Including S-SDD Matrices and Linear Complementarity Problems

Yebo XIONG1
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作者信息

  • 1. Department of Mathematics and Statistics,Hunan First Normal University,Hunan 410205,P.R.China
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Abstract

A partition reduction method is used to obtain new upper bounds for the inverses of H-matrices and S-strictly diagonally dominant(S-SDD)matrices.The estimates are expressed via the determinants of third order matrices.Numerical experiments with various random ma-trices show that they are stable and better than the estimates presented in literatures.We use these upper bounds to improve known error estimates for linear complementarity problems with H-matrices and S-SDD matrices.

Key words

linear complementarity problem/error bound/upper bound/S-SDD matrices/H-matrices

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基金项目

Scientific Research Project of Education Department of Hunan Province(21C0837)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

影响因子:0.094
ISSN:2095-2651
参考文献量36
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