Infinity norm bounds for the inverse of Quasi-SDDk SDD k matrices with applications

被引：0

作者：

Li, Qin ^{[1
]}

Ran, Wenwen ^{[1
]}

Wang, Feng ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2024年

关键词：

Infinity norm bounds; Error bounds; Linear complementarity problems; QSDD(k) matrices; H-matrices; LINEAR COMPLEMENTARITY-PROBLEMS; ERROR-BOUNDS;

D O I：

10.1007/s11075-024-01949-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new subclass of H-matrices named Quasi-SDDk (for shortly, QSDDk) matrices, present some properties of QSDD(k) k matrices, and discuss the relationship among QSDD(k) matrices and other subclasses of H-matrices. Moreover, the infinity norm bounds for the inverse of Q SDDk matrices and error bounds for the linear complementarity problems of QSDD(k) matrices are given, which improve some existing results. Numerical examples are given to illustrate the validity of new results.

引用

页数：25

共 25 条

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[22] Upper norm bounds for the inverse of locally doubly strictly diagonally dominant matrices with its applications in linear complementarity problems
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NUMERICAL ALGORITHMS, 2022, 90 (04) : 1465 - 1491
[23] Max-norm bounds for the inverse of S-Nekrasov matrices
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[24] Norm Bounds for the Inverse for Generalized Nekrasov Matrices in Point-Wise and Block Case
Nedovic, M.
FILOMAT, 2021, 35 (08) : 2705 - 2714
[25] Infinity norm bounds for the inverse for GSDD1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{GSDD}_1$$\end{document} matrices using scaling matrices
Ping-Fan Dai
Jinping Li
Shaoyu Zhao
Computational and Applied Mathematics, 2023, 42 (3)

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