Structured tensor tuples to polynomial complementarity problems

DOI10.1007/s10898-023-01302-yzbMath1522.90234OpenAlexW4380271759MaRDI QIDQ6164019

Guo-ji Tang, Tong-tong Shang

Publication date: 26 July 2023

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-023-01302-y

zbMATH Keywords

uniquenessglobal upper boundpolynomial complementarity problem(strictly) semi-positivitystructured tensor tuple

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Polynomial optimization (90C23)

Cites Work

• Unnamed Item
• Positive-definite tensors to nonlinear complementarity problems
• Eigenvalue analysis of constrained minimization problem for homogeneous polynomial
• 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
• Formulating an \(n\)-person noncooperative game as a tensor complementarity problem
• Column sufficient tensors and tensor complementarity problems
• Error bounds for the solution sets of quadratic complementarity problems
• Global uniqueness and solvability of tensor variational inequalities
• Strictly semi-positive tensors and the boundedness of tensor complementarity problems
• Properties of structured tensors and complementarity problems
• The existence and uniqueness of solution for tensor complementarity problem and related systems
• \textit{QN}-tensor and tensor complementarity problem
• Existence results for solutions of mixed tensor variational inequalities
• Generalized polynomial complementarity problems over a polyhedral cone
• Bounds of the solution set of the tensor complementarity problem
• Tensor complementarity problems. III: Applications
• Global error bounds for the tensor complementarity problem with a \(P\)-tensor
• Estimations on upper and lower bounds of solutions to a class of tensor complementarity problems
• Properties of some classes of structured tensors
• Eigenvalues of a real supersymmetric tensor
• Solvability of monotone tensor complementarity problems
• Polynomial complementarity problems
• Properties of Tensor Complementarity Problem and Some Classes of Structured Tensors
• Tensor complementarity problems: the GUS-property and an algorithm
• On error bounds of polynomial complementarity problems with structured tensors
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• On the properties of tensor complementarity problems
• Lower bounds of the solution set of the polynomial complementarity problem
• A fixed point iterative method for tensor complementarity problems with the implicit \(Z\)-tensors

This page was built for publication: Structured tensor tuples to polynomial complementarity problems