The Existence and Uniqueness of Solution for Tensor Complementarity Problem and Related Systems

被引：20
作者：
Cui, Lu-Bin [1 ]
Fan, Yu-Dong [1 ]
Song, Yi-Sheng [2 ]
Wu, Shi-Liang [3 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Henan, Peoples R China
[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[3] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2022年 / 192卷 / 01期
关键词：
Tensor complementarity problem; Existence; Uniqueness; Tensor absolute value equations; Nonsingularity;
D O I：
10.1007/s10957-021-01972-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In the paper, we are concerned with the existence and uniqueness of solution for tensor complementarity problem (TCP) and tensor absolute value equations (TAVEs) with special structure. First, we give a sufficient condition of P tensors by using the nonsingularity of the relevant tensors and the properties of eigenvalues. In addition, we give the conditions for the existence and uniqueness of solution for the TCP and prove that the TAVEs with a special structure are equivalent to the TCP. Based on these, using the equivalence relationship with the TCP, some sufficient conditions for the existence and uniqueness of solution for the TAVEs with special structure are given.
引用
收藏
页码：321 / 334
页数：14
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