Stochastic \(R_0\) tensors to stochastic tensor complementarity problems

DOI10.1007/s11590-018-1362-7zbMath1417.90108arXiv1808.03436OpenAlexW2886917779WikidataQ114222161 ScholiaQ114222161MaRDI QIDQ2414109

Mao-Lin Che, Liqun Qi, Yi-Min Wei

Publication date: 10 May 2019

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03436

zbMATH Keywords

tensor complementarity problem\(R_0\) tensorsstochastic \(R_0\) tensorsstochastic tensor complementarity problemsthe expected residual minimization formulation

Mathematics Subject Classification ID

Stochastic programming (90C15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Positive-definite tensors to nonlinear complementarity problems
• Tensor complementarity problem and semi-positive tensors
• Global uniqueness and solvability for tensor complementarity problems
• Properties of solution set of tensor complementarity problem
• Symmetric nonnegative tensors and copositive tensors
• Regularizations for stochastic linear variational inequalities
• The sparsest solutions to \(Z\)-tensor complementarity problems
• Formulating an \(n\)-person noncooperative game as a tensor complementarity problem
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty
• Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization
• Robust solution of monotone stochastic linear complementarity problems
• On the nonlinear complementarity problem
• Sample-path solution of stochastic variational inequalities
• A SAA nonlinear regularization method for a stochastic extended vertical linear complementarity problem
• \(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications
• An iterative method for finding the least solution to the tensor complementarity problem
• \(S\)-adapted oligopoly equilibria and approximations in stochastic variational inequalities
• Tensor absolute value equations
• Properties of some classes of structured tensors
• Eigenvalues of a real supersymmetric tensor
• Growth behavior of a class of merit functions for the nonlinear complementarity problem
• Exceptionally regular tensors and tensor complementarity problems
• Stochastic Variational Inequalities: Residual Minimization Smoothing Sample Average Approximations
• Polynomial complementarity problems
• Stochastic $R_0$ Matrix Linear Complementarity Problems
• Smoothing Projected Gradient Method and Its Application to Stochastic Linear Complementarity Problems
• A special newton-type optimization method
• A Stochastic Version of a Stackelberg-Nash-Cournot Equilibrium Model
• Properties of Tensor Complementarity Problem and Some Classes of Structured Tensors
• Tensor complementarity problems: the GUS-property and an algorithm
• Asymptotic Theory for Solutions in Statistical Estimation and Stochastic Programming
• Convergence Analysis of Stochastic Algorithms
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Expected Residual Minimization Method for Stochastic Linear Complementarity Problems
• New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC
• Nonlinear Programs with Positively Bounded Jacobians
• Equilibria of Polymatrix Games