A smoothing Newton method preserving nonnegativity for solving tensor complementarity problems with \(P_0\) mappings
From MaRDI portal
Publication:2097504
DOI10.3934/jimo.2022041OpenAlexW4226342115MaRDI QIDQ2097504
Publication date: 14 November 2022
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2022041
Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Uses Software
Cites Work
- Positive-definite tensors to nonlinear complementarity problems
- Global uniqueness and solvability for tensor complementarity problems
- Properties of solution set of tensor complementarity problem
- Formulating an \(n\)-person noncooperative game as a tensor complementarity problem
- Improved smoothing Newton methods for \(P_0\) nonlinear complementarity problems
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Solution of monotone complementarity problems with locally Lipschitzian functions
- Superlinear/quadratic one-step smoothing Newton method for \(P_0\)-NCP without strict complementarity
- The non-interior continuation methods for solving the \(P_0\) function nonlinear complementarity problem
- Global uniqueness and solvability of tensor variational inequalities
- Tensor eigenvalues and their applications
- Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems
- A regularization Newton method for solving nonlinear complementarity problems
- Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- Finding Nash equilibrium for a class of multi-person noncooperative games via solving tensor complementarity problem
- Tensor complementarity problems. I: Basic theory
- Tensor complementarity problems. II: Solution methods
- Tensor complementarity problems. III: Applications
- Weakly homogeneous variational inequalities and solvability of nonlinear equations over cones
- Properties of some classes of structured tensors
- A mixed integer programming approach to the tensor complementarity problem
- Eigenvalues of a real supersymmetric tensor
- $M$-Tensors and Some Applications
- Polynomial complementarity problems
- A Non-Interior-Point Continuation Method for Linear Complementarity Problems
- A special newton-type optimization method
- Smooth Approximations to Nonlinear Complementarity Problems
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
- Properties of Tensor Complementarity Problem and Some Classes of Structured Tensors
- Improving the convergence of non-interior point algorithms for nonlinear complementarity problems
- A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen--Mangasarian Smoothing Functions
- Some Noninterior Continuation Methods for Linear Complementarity Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- On $Q$-Tensors
- A Note on the Nonemptiness and Compactness of Solution Sets of Weakly Homogeneous Variational Inequalities
- Tensor Analysis
- A semidefinite method for tensor complementarity problems
