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   Articles with "tensor complementarity" as a keyword



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Linearized Methods for Tensor Complementarity Problems

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recommendations! Published in 2020 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-019-01627-3

Abstract: In this paper, we first propose a linearized method for solving the tensor complementarity problem. The subproblems of the method can be solved by solving linear complementarity problems with a constant matrix. We show that… read more here.

Keywords: complementarity problems; tensor complementarity; linearized methods; complementarity ... See more keywords
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Column sufficient tensors and tensor complementarity problems

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recommendations! Published in 2018 at "Frontiers of Mathematics in China"

DOI: 10.1007/s11464-018-0681-4

Abstract: Stimulated by the study of sufficient matrices in linear complementarity problems, we study column sufficient tensors and tensor complementarity problems. Column sufficient tensors constitute a wide range of tensors that include positive semi-definite tensors as… read more here.

Keywords: column sufficient; sufficient tensors; complementarity problems; tensor complementarity ... See more keywords
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The sparsest solutions to Z-tensor complementarity problems

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recommendations! Published in 2017 at "Optimization Letters"

DOI: 10.1007/s11590-016-1013-9

Abstract: Finding the sparsest solutions to a tensor complementarity problem is generally NP-hard due to the nonconvexity and noncontinuity of the involved $$\ell _0$$ℓ0 norm. In this paper, a special type of tensor complementarity problems with… read more here.

Keywords: complementarity problems; solutions tensor; sparsest solutions; tensor complementarity ... See more keywords
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Stochastic $$R_0$$R0 tensors to stochastic tensor complementarity problems

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recommendations! Published in 2019 at "Optimization Letters"

DOI: 10.1007/s11590-018-1362-7

Abstract: The main purpose of this paper is devoted to an introduction of the stochastic tensor complementarity problem. We consider the expected residual minimization formulation of the stochastic tensor complementarity problem. We show that the solution… read more here.

Keywords: tensor complementarity; tensor; stochastic tensor; expected residual ... See more keywords
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The maximum tensor complementarity eigenvalues

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recommendations! Published in 2020 at "Optimization Methods and Software"

DOI: 10.1080/10556788.2018.1528251

Abstract: ABSTRACT This paper proposes an algorithm for computing the maximum (or minimum) complementarity eigenvalues of tensors. We formulate this as proper polynomial optimization problems that can be efficiently solved by Lasserre type semidefinite relaxations. The… read more here.

Keywords: complementarity; complementarity eigenvalues; maximum tensor; tensor complementarity ... See more keywords
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Modified gradient dynamic approach to the tensor complementarity problem

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recommendations! Published in 2020 at "Optimization Methods and Software"

DOI: 10.1080/10556788.2019.1578766

Abstract: ABSTRACT Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP) are presented. Theoretical analysis shows that each of the defined dynamical system models ensures the convergence. The computer-simulation results further substantiate that the… read more here.

Keywords: dynamic approach; tensor complementarity; gradient dynamic; complementarity problem ... See more keywords