A generalization of the equivalence relations between modulus-based and projected splitting methods

DOI10.1007/s11565-022-00429-2zbMath1505.65217OpenAlexW4297819782MaRDI QIDQ2084585

Francesco Mezzadri, Emanuele Galligani

Publication date: 18 October 2022

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-022-00429-2

zbMATH Keywords

modulus-based matrix splitting methodsprojected splitting methodshorizontal nonlinear complementarity problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• Unnamed Item
• Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
• A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems
• Two-step modulus-based matrix splitting iteration method for linear complementarity problems
• Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems
• Solution of nonsymmetric, linear complementarity problems by iterative methods
• Solution of symmetric linear complementarity problems by iterative methods
• Modulus-based matrix splitting algorithms for the quasi-complementarity problems
• Comparison of three classes of algorithms for the solution of the linear complementarity problem with an \(H_+\)-matrix
• Improved convergence theorems of modulus-based matrix splitting iteration method for nonlinear complementarity problems of \(H\)-matrices
• The sign-based methods for solving a class of nonlinear complementarity problems
• Splitting methods for a class of horizontal linear complementarity problems
• Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem
• On the equivalence between some projected and modulus-based splitting methods for linear complementarity problems
• A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems
• Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems
• A sign-based linear method for horizontal linear complementarity problems
• A modulus-based formulation for the vertical linear complementarity problem
• The selection of the optimal parameter in the modulus-based matrix splitting algorithm for linear complementarity problems
• A two-step iteration method for the horizontal nonlinear complementarity problem
• A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems
• On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of \(H_+\)-matrices
• Modulus-based matrix splitting methods for horizontal linear complementarity problems
• Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems
• Complementary pivot theory of mathematical programming
• A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems
• The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems
• Modulus-based synchronous multisplitting iteration methods for linear complementarity problems
• Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems
• Modulus-based matrix splitting iteration methods for linear complementarity problems
• The Linear Complementarity Problem
• A generalization of the linear complementarity problem
• The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
• Anderson acceleration of the modulus‐based matrix splitting algorithms for horizontal nonlinear complementarity systems

This page was built for publication: A generalization of the equivalence relations between modulus-based and projected splitting methods