New Bounds of the Infinity Norm of the Inverse of GS-SDD Matrices with Their Applications

DUAN Wei-ting, WEN De-kun, HUI Min, WANG Ya-qiang

doi:10.13371/j.cnki.chin.q.j.m.2026.02.007

Chinese Quarterly Journal of Mathematics >

2026 , Vol. 41 >Issue 2: 184 - 196

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2026.02.007

New Bounds of the Infinity Norm of the Inverse of GS-SDD Matrices with Their Applications

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1. School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China; 2. Yinchuan No.31 Middle School, Yinchuan 750001, China; 3. Shaanxi Zhashui High School, Zhashui 711400, China

DUAN Wei-ting (2000-), female, native of Guyuan, Ningxia, teacher of Yinchuan No.31 Middle School, engages in numerical algebra; WEN De-kun (1999-), male, native of Shangluo, Shaanxi, teacher of Shaanxi Zhashui High School, engages in numerical algebra; HUI Min (1987-), female, native of Baoji, Shaanxi, lecturer of Baoji University of Arts and Sciences, engages in numerical algebra; WANG Ya-qiang (1983-), male, native of Baoji, Shaanxi, professor of Baoji University of Arts and Sciences, engages in numerical algebra.

HUI Min (1987-), female, native of Baoji, Shaanxi, lecturer of Baoji University of Arts and Sciences, engages in numerical algebra;

Received date: 2025-10-12

Online published: 2026-06-30

Supported by

Supported by the Natural Science Foundation of Shaanxi Province (Grant No. 2020JM-622) and the Postgraduate Innovative Research Project of Baoji University of Arts and Sciences (Grant No. YJSCX25YB39).

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Abstract

In this paper, we present a new bound of the infinity norm of inverse of GS-SDD matrices. Meanwhile, a new error bound for the linear complementarity problem (LCP) of GS-SDD matrices is given, which depends only on the entries of the involved matrices. In addition, some numerical examples are given to illustrate the corresponding results.

Key words： GS-SDD matrices; Infinity norm; Linear complementarity problem

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DUAN Wei-ting, WEN De-kun, HUI Min, WANG Ya-qiang . New Bounds of the Infinity Norm of the Inverse of GS-SDD Matrices with Their Applications[J]. Chinese Quarterly Journal of Mathematics, 2026 , 41(2) : 184 -196 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.02.007

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