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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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Structured tensor tuples to polynomial complementarity problems
It is well known that structured tensors play an important role in the investigation of tensor complementarity problems. The polynomial...
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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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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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Error Bounds for Linear Complementarity Problems of Nekrasov and Generalized Nekrasov Matrices
We first propose a new error bound for the linear complementarity problems when the involved matrices are generalized Nekrasov matrices, which...
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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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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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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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On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
We consider adjustable robust linear complementarity problems and extend the results of Biefel et al. (SIAM J Optim 32:152–172, 2022) towards convex...
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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 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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General convergence results of the modulus-based methods for vertical nonlinear complementarity problems
In this work, the general convergence analysis of the modulus-based matrix splitting iteration method for vertical nonlinear complementarity problems...
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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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Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition
AbstractWe consider initial–boundary value problems for homogeneous parabolic systems with coefficients satisfying the double Dini condition with...
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The GUS-Property and Modulus-Based Methods for Tensor Complementarity Problems
In this paper, we consider the global uniqueness and solvability (GUS) of tensor complementarity problems for special power Lipschitz 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 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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A modified multivariate spectral gradient projection method for nonlinear complementarity problems
We present a sufficient condition for monotonicity of the nonlinear nonsmooth system generated by Fischer–Burmeister function associated with...
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New Predictor–Corrector Algorithm for Symmetric Cone Horizontal Linear Complementarity Problems
We propose a new predictor–corrector interior-point algorithm for solving Cartesian symmetric cone horizontal linear complementarity problems, which...
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A relaxed two-step modulus-based matrix synchronous multisplitting iteration method for linear complementarity problems
In this paper, a relaxed two-step modulus-based matrix synchronous multisplitting iteration method for solving the linear complementarity problems is...
