GS-SDD 矩阵的逆的无穷范数的新上界及其应用

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

数学季刊 ›› 2026, Vol. 41 ›› Issue (2): 184-196.doi: 10.13371/j.cnki.chin.q.j.m.2026.02.007

GS-SDD 矩阵的逆的无穷范数的新上界及其应用

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

收稿日期:2025-10-12 出版日期:2026-06-30 发布日期:2026-06-30
作者简介: 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.
基金资助:
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).

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

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

Received:2025-10-12 Online:2026-06-30 Published:2026-06-30
About author: 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.
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).

摘要/Abstract

摘要： 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.

关键词: GS-SDD matrices, Infinity norm, Linear complementarity problem

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

中图分类号:

O151.2

段维婷, 温德坤, 惠敏, 王亚强. GS-SDD 矩阵的逆的无穷范数的新上界及其应用[J]. 数学季刊, 2026, 41(2): 184-196.

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.

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GS-SDD 矩阵的逆的无穷范数的新上界及其应用

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

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