On {P1,P2}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{P_1,P_2\}$$\end{document}-Nekrasov Matrices

被引：0
作者：
Lei Gao
Qilong Liu
Chaoqian Li
Yaotang Li
机构：
[1] Baoji University of Arts and Sciences,School of Mathematics and Information Science
[2] Guizhou Normal University,School of Mathematical Sciences
[3] Yunnan University,School of Mathematics and Statistics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2021年 / 44卷 / 5期
关键词：
-Nekrasov matrices; Linear complementarity problems; Error bounds; Subdirect sum; 15A24; 15A60; 90C33;
D O I：
10.1007/s40840-021-01094-y
中图分类号：
学科分类号：
摘要：
The class of {P1,P2}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{P_1,P_2\}$$\end{document}-Nekrasov matrices, defined in terms of permutation matrices P1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P_1$$\end{document} and P2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P_2$$\end{document}, is a generalization of the well-known class of Nekrasov matrices. In this paper, some computable error bounds for linear complementarity problems (LCPs) of {P1,P2}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{P_1,P_2\}$$\end{document}-Nekrasov matrices are given, which depend only on the entries of the involved matrices and can be used to obtain the perturbation bounds of {P1,P2}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{P_1,P_2\}$$\end{document}-Nekrasov matrices LCPs. Besides, some sufficient conditions ensuring that the subdirect sum of {P1,P2}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{P_1,P_2\}$$\end{document}-Nekrasov matrices lies in the same class are also provided.
引用
收藏
页码：2971 / 2999
页数：28
相关论文
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