Improved convergence theorems of modulus-based matrix splitting iteration methods for linear complementarity problems
From MaRDI portal
Publication:1950200
DOI10.1016/j.aml.2013.01.001zbMath1266.65097OpenAlexW2061152612MaRDI QIDQ1950200
Publication date: 10 May 2013
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2013.01.001
convergencelinear complementarity problemmodulus-based methodmatrix two-stage splitting iteration methods
Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems ⋮ Two-sweep modulus-based matrix splitting iteration methods for linear complementarity problems ⋮ Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems ⋮ The modulus-based nonsmooth Newton's method for solving a class of nonlinear complementarity problems of \(P\)-matrices ⋮ On the preconditioned GAOR method for a linear complementarity problem with an \(M\)-matrix ⋮ A generalized Newton method for non-Hermitian positive definite linear complementarity problem ⋮ The weaker convergence of modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems ⋮ Improved convergence theorems of multisplitting methods for the linear complementarity problem ⋮ A preconditioned general modulus-based matrix splitting iteration method for linear complementarity problems of \(H\)-matrices ⋮ The modulus-based matrix splitting iteration methods for second-order cone linear complementarity problems ⋮ A class of new modulus-based matrix splitting methods for linear complementarity problem ⋮ On the convergence of modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems with \(H_+\)-matrices ⋮ Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems ⋮ Modified modulus‐based matrix splitting iteration methods for linear complementarity problems ⋮ Modulus-based matrix splitting algorithms for the quasi-complementarity problems ⋮ The solution of the linear complementarity problem by the matrix analogue of the accelerated overrelaxation iterative method ⋮ The matrix splitting iteration method for nonlinear complementarity problems associated with second-order cone ⋮ A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems ⋮ Modulus-based inexact non-alternating preconditioned splitting method for linear complementarity problems ⋮ More on matrix splitting modulus-based iterative methods for solving linear complementarity problem ⋮ A class of modulus-based matrix splitting methods for vertical linear complementarity problem ⋮ Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems ⋮ The relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems of positive definite matrices ⋮ A class of modified modulus-based synchronous multisplitting iteration methods for linear complementarity problems ⋮ Newton-type methods for solving quasi-complementarity problems via sign-based equation ⋮ Comparison of three classes of algorithms for the solution of the linear complementarity problem with an \(H_+\)-matrix ⋮ Generalized SOR-like iteration method for linear complementarity problem ⋮ Improved convergence theorems of modulus-based matrix splitting iteration method for nonlinear complementarity problems of \(H\)-matrices ⋮ Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem ⋮ On generalizations of positive subdefinite matrices and the linear complementarity problem ⋮ The relaxation modulus-based matrix splitting iteration methods for circular cone nonlinear complementarity problems ⋮ PRECONDITIONED SSOR METHODS FOR THE LINEAR COMPLEMENTARITY PROBLEM WITH M-MATRIX ⋮ Convergence analysis on matrix splitting iteration algorithm for semidefinite linear complementarity problems ⋮ The sign-based methods for solving a class of nonlinear complementarity problems ⋮ Overlapping restricted additive Schwarz method with damping factor for \(H\)-matrix linear complementarity problem ⋮ The selection of the optimal parameter in the modulus-based matrix splitting algorithm for linear complementarity problems ⋮ A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems ⋮ A modulus-based multigrid method for nonlinear complementarity problems with application to free boundary problems with nonlinear source terms ⋮ A two-step modulus-based matrix splitting iteration method for solving nonlinear complementarity problems of \(H_+\)-matrices ⋮ Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems ⋮ New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems ⋮ A modified general modulus-based matrix splitting method for linear complementarity problems of \(H\)-matrices ⋮ A preconditioned modulus-based iteration method for solving linear complementarity problems ofH-matrices ⋮ A preconditioned two-step modulus-based matrix splitting iteration method for linear complementarity problem ⋮ Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems ⋮ A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of \(H\)-matrices ⋮ Infimum of error bounds for linear complementarity problems of \(\Sigma\)-\textit{SDD} and \(\Sigma_1\)-\textit{SSD} matrices ⋮ A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems ⋮ Numerical efficiency of modified modulus-based multigrid cycles with application to free boundary problems ⋮ Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems ⋮ Newton-based matrix splitting method for generalized absolute value equation ⋮ Unnamed Item ⋮ A non-modulus linear method for solving the linear complementarity problem ⋮ 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 ⋮ GLOBAL RELAXED MODULUS-BASED SYNCHRONOUS BLOCK MULTISPLITTING MULTI-PARAMETERS METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS ⋮ An iteration method for nonlinear complementarity problems ⋮ A class of two-step modulus-based matrix splitting iteration methods for quasi-complementarity problems ⋮ Improved convergence theorems of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear complementarity problems ⋮ A generalized modulus-based Newton method for solving a class of non-linear complementarity problems with \(P\)-matrices ⋮ A preconditioned general two-step modulus-based matrix splitting iteration method for linear complementarity problems of \(H_+\)-matrices ⋮ The GUS-property and modulus-based methods for tensor complementarity problems ⋮ A general modulus-based matrix splitting method for linear complementarity problems of \(H\)-matrices ⋮ New convergence proofs of modulus-based synchronous multisplitting iteration methods for linear complementarity problems