CKV 型矩阵和 CKV 型 $B$ - 矩阵的扩展垂直线性互补问题的全局误差约束

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2024-03-28 DOI:10.1007/s10440-024-00644-3

Lei Gao, Xiudan Jia, Xia Jing, Yi Liu

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引用次数: 0

摘要

Yan 和 Wang (Jpn. Ind. Appl. Math. 41:129-150, 2024) 针对 CKV 型矩阵和 CKV 型 $B$-matrices 的扩展垂直线性互补问题 (LCP) 提出了一些带有未确定参数的全局误差边界，这些误差边界并不总是有效的。本文给出了 CKV 型矩阵和 CKV 型 $B$-matrices 的扩展垂直 LCP 的新全局误差边界，它只取决于所涉及矩阵的条目。数值示例表明，新边界优于 Zhang 等（Comput.Optim.应用数学》42(3):335-352, 2009）和 Wang 等人（《计算。应用数学》40:148, 2021）中提供的边界。

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Global Error Bounds for the Extended Vertical Linear Complementarity Problems of CKV-Type Matrices and CKV-Type $B$-Matrices

Some global error bounds with undetermined parameters, which are not always valid, for the extended vertical linear complementarity problems (LCP) of CKV-type matrices and CKV-type $B$-matrices, are presented by Yan and Wang (Jpn. J. Ind. Appl. Math. 41:129–150, 2024). In this paper, new global error bounds for the extended vertical LCP of CKV-type matrices and CKV-type $B$-matrices are given, which depend only on the entries of the involved matrices. Numerical examples show that the new bounds are better than those provided in Zhang et al. (Comput. Optim. Appl. 42(3):335–352, 2009) and Wang et al. (Comput. Appl. Math. 40:148, 2021) in some cases.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.