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A Semidefinite Relaxation Method for Linear and Nonlinear Complementarity Problems with Polynomials
This paper considers semidefinite relaxation for linear and nonlinear complementarity problems. For some particular copositive matrices and tensors,...
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Convergence Analysis of the Projected SOR Iteration Method for Horizontal Linear Complementarity Problems
Recently, the projected Jacobi (PJ) and projected Gauss-Seidel (PGS) iteration methods have been studied for solving the horizontal linear...
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A Fixed Point Iterative Method for Third-order Tensor Linear Complementarity Problems
Fixed point iterative approach for solving the third-order tensor linear complementarity problems (TLCP) is presented in this paper. Theoretical...
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On linear problems with complementarity constraints
A mathematical program with complementarity constraints is an optimization problem with equality/inequality constraints in which a complementarity...
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On solving difference of convex functions programs with linear complementarity constraints
We address a large class of Mathematical Programs with Linear Complementarity Constraints which minimizes a continuously differentiable DC function...
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Solvability of monotone tensor complementarity problems
The tensor complementarity problem is a special instance in the class of nonlinear complementarity problems, which has many applications in...
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Convergence analysis of projected SOR iteration method for a class of vertical linear complementarity problems
Based on the ideas of the projected matrix splitting technique and the well-known successive overrelaxation (SOR) iteration method, a projected SOR...
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A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems
In this paper, a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical...
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Projected fixed-point method for vertical tensor complementarity problems
It is well known that the standard complementarity problem can be equivalently reformulated as a projected fixed-point equation, and this...
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The Order-p Tensor Linear Complementarity Problem for Images Deblurring
In this paper, we first study the equivalence between the third order tensor linear complementarity problem under the framework of t-product and the...
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Complexity Analysis of a Full-Newton Step Interior-Point Method for Monotone Weighted Linear Complementarity Problems
In this paper, we present a full-Newton step interior-point method for solving monotone Weighted Linear Complementarity Problem. We use the technique...
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An Iterative Method for Horizontal Tensor Complementarity Problems
In this paper, we focus on a class of horizontal tensor complementarity problems (HTCPs). By introducing the block representative tensor, we show...
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Gradient projection method on the sphere, complementarity problems and copositivity
By using a constant step-size, the convergence analysis of the gradient projection method on the sphere is presented for a closed spherically convex...
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A General Preconditioner for Tensor Complementarity Problems
Preconditioning techniques have been focused on multi-linear systems or tensor equations. However, to our knowledge, there is no relevant research on...
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The projected-type method for the extended vertical linear complementarity problem revisited
In this paper, we further study the projected-type method for the extended vertical linear complementarity problem. By making use of some basic...
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A projected splitting method for vertical tensor complementarity problems
In this paper, the vertical tensor complementarity problem (VTCP) is reformulated as the projected equation. After then, a projected splitting...
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The Relaxation Modulus-Based Matrix Splitting Iteration Method for Horizontal Linear Complementarity Problems
In this paper, we establish the relaxation modulus-based matrix splitting (RMMS) iteration method for solving the horizontal linear complementarity...
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Generalized Multilinear Games and Vertical Tensor Complementarity Problems
This paper generalizes the multilinear game where the payoff tensor of each player is fixed to the generalized multilinear game where the payoff...
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A generalized alternating direction method of multipliers for tensor complementarity problems
In this paper, we consider the tensor complementarity problem (TCP). From the perspective of non-coupled equality constraint minimization problem for...
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An approximate lower order penalty approach for solving second-order cone linear complementarity problems
Based on a class of smoothing approximations to projection function onto second-order cone, an approximate lower order penalty approach for solving...
