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On $$\{P_1,P_2\}$$ { P 1 , P 2 } -Nekrasov Matrices
Bulletin of the Malaysian Mathematical Sciences Society ( IF 1.0 ) Pub Date : 2021-03-02 , DOI: 10.1007/s40840-021-01094-y
Lei Gao , Qilong Liu , Chaoqian Li , Yaotang Li

The class of \(\{P_1,P_2\}\)-Nekrasov matrices, defined in terms of permutation matrices \(P_1\) and \(P_2\), is a generalization of the well-known class of Nekrasov matrices. In this paper, some computable error bounds for linear complementarity problems (LCPs) of \(\{P_1,P_2\}\)-Nekrasov matrices are given, which depend only on the entries of the involved matrices and can be used to obtain the perturbation bounds of \(\{P_1,P_2\}\)-Nekrasov matrices LCPs. Besides, some sufficient conditions ensuring that the subdirect sum of \(\{P_1,P_2\}\)-Nekrasov matrices lies in the same class are also provided.



中文翻译:

在$$ \ {P_1,P_2 \} $$ {P 1,P 2} -Nekrasov矩阵上

根据置换矩阵\(P_1 \)\(P_2 \)定义的\(\ {P_1,P_2 \} \) -Nekrasov矩阵的类别是对Nekrasov矩阵的知名类别的概括。本文给出了\(\ {P_1,P_2 \} \)- Nekrasov矩阵的线性互补问题(LCP)的一些可计算误差界,这些误差界仅取决于所涉及矩阵的项,并且可用于获得\(\ {P_1,P_2 \} \)- Nekrasov矩阵LCP的摄动界。此外,还提供了一些充分的条件,以确保\(\ {P_1,P_2 \} \)- Nekrasov矩阵的子直接和位于同一类中。

更新日期:2021-03-02
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