Global uniqueness and solvability of tensor complementarity problems for H+-tensors

被引：0
作者：
Wang, Xuezhong [1 ]
Che, Maolin [2 ]
Wei, Yimin [3 ,4 ]
机构：
[1] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China
[2] Southwest Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[4] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2020年 / 84卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Tensor complementarity problem; H+-tensors; Dynamical system; Activation function; Convergence; SOLVING MULTILINEAR SYSTEMS; RECURRENT NEURAL-NETWORK; OPTIMIZATION; EQUATION; EIGENVALUES;
D O I：
10.1007/s11075-019-00769-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Inthis paper, we study the global uniqueness and solvability of tensor complementarity problems for Script capital H+-tensors. We obtain a sufficient condition of the global uniqueness and solvability of tensor complementarity problems for Script capital H+-tensors. We present nonlinear dynamical system models for solving the tensor complementarity problem (TCP). We prove that the presented dynamical system models are stable in the sense of Lyapunov stability theory for considering three classes of structured tensors. The computer simulation results further substantiate that the considered dynamical system can be used to solve the TCP.
引用
收藏
页码：567 / 590
页数：24
相关论文
共 61 条
[1]   Global Uniqueness and Solvability for Tensor Complementarity Problems [J].
Bai, Xue-Li ;
Huang, Zheng-Hai ;
Wang, Yong .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (01) :72-84
[2]  
Bermudez A. J., 1994, SAVMA Symposium 1994 Proceedings., P1
[3]   Second order optimality conditions based on parabolic second order tangent sets [J].
Bonnans, JF ;
Cominetti, R ;
Shapiro, A .
SIAM JOURNAL ON OPTIMIZATION, 1999, 9 (02) :466-492
[4]   NEURAL NETWORK FOR QUADRATIC OPTIMIZATION WITH BOUND CONSTRAINTS [J].
BOUZERDOUM, A ;
PATTISON, TR .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1993, 4 (02) :293-304
[5]  
Che ML, 2019, OPTIM LETT, V13, P261, DOI 10.1007/s11590-018-1362-7
[6]   Positive-Definite Tensors to Nonlinear Complementarity Problems [J].
Che, Maolin ;
Qi, Liqun ;
Wei, Yimin .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 168 (02) :475-487
[7]  
Chen H., 2015, ARXIV150403414V1
[8]  
CHUA LO, 1984, IEEE T CIRCUITS SYST, V31, P182, DOI 10.1109/TCS.1984.1085482
[9]  
Clarke F.H., 1990, CLASSICS APPL MATH, V5
[10]  
Cottle RW, 1992, The Linear Complementarity Problem
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