Formulating an n-person noncooperative game as a tensor complementarity problem

ZH Huang, L Qi - Computational Optimization and Applications, 2017 - Springer
In this paper, we consider a class of n-person noncooperative games, where the utility
function of every player is given by a homogeneous polynomial defined by the payoff tensor …

A non-interior continuation method for generalized linear complementarity problems

JM Peng, Z Lin - Mathematical Programming, 1999 - Springer
In this paper, we propose a non-interior continuation method for solving generalized linear
complementarity problems (GLCP) introduced by Cottle and Dantzig. The method is based …

A smoothing Newton method for extended vertical linear complementarity problems

HD Qi, LZ Liao - SIAM Journal on Matrix Analysis and Applications, 1999 - SIAM
In this paper, we reformulate the extended vertical linear complementarity problem (EVLCP
(m, q)) as a nonsmooth equation H (t, x)= 0, where H:\smallBbbR^n+1→\smallBbbR^n+1 …

The perturbation bound of the extended vertical linear complementarity problem

SL Wu, W Li, HH Wang - Journal of the Operations Research Society of …, 2024 - Springer
In this paper, we discuss the perturbation analysis of the extended vertical linear
complementarity problem (EVLCP). Under the assumption of the row W-property, we derive …

The projected-type method for the extended vertical linear complementarity problem revisited

CX Li, SL Wu - Journal of Global Optimization, 2024 - Springer
In this paper, we further study the projected-type method for the extended vertical linear
complementarity problem. By making use of some basic absolute value inequalities, some …

The generalized linear complementarity problem revisited

SR Mohan, SK Neogy, R Sridhar - Mathematical Programming, 1996 - Springer
Given a vertical block matrix A, we consider in this paper the generalized linear
complementarity problem VLCP (q, A) introduced by Cottle and Dantzig. We formulate this …

Generalized multilinear games and vertical tensor complementarity problems

Q Jia, ZH Huang, Y Wang - Journal of Optimization Theory and …, 2024 - Springer
This paper generalizes the multilinear game where the payoff tensor of each player is fixed
to the generalized multilinear game where the payoff tensor of each player is selected from a …

Generalized modulus-based matrix splitting algorithm with Anderson acceleration strategy for vertical linear complementarity problems

D Yu, Y Yuan, Y Zhang, P Bao - Journal of Computational and Applied …, 2024 - Elsevier
The vertical linear complementarity problem (VLCP) with an arbitrary number l of matrices is
related to many practical problems, of which the state-of-the-art modulus-based matrix …

[PDF][PDF] A neural network for a generalized vertical complementarity problem

B Hou, J Zhang, C Qiu - AIMS Mathematics, 2022 - aimspress.com
In this paper, an efficient artificial neural network is proposed for solving a generalized
vertical complementarity problem. Based on the properties of log-exponential function, the …

Global error bounds for the extended vertical LCP

C Zhang, X Chen, N Xiu - Computational Optimization and Applications, 2009 - Springer
A new necessary and sufficient condition for the row W-property is given. By using this new
condition and a special row rearrangement, we provide two global error bounds for the …