Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems

DOI10.1007/s11075-019-00660-7zbMath1434.65060OpenAlexW2910218657MaRDI QIDQ2009061

An Wang, Yang Cao

Publication date: 27 November 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00660-7

zbMATH Keywords

convergencematrix splittingimplicit complementarity problemmodulus method

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical linear algebra (65F99)

Related Items

A relaxed generalized Newton iteration method for generalized absolute value equations, The convergence of modulus-based matrix splitting iteration methods for implicit complementarity problems, New modulus-based matrix splitting methods for implicit complementarity problem, Superlinearly convergent methods for solving a class of implicit complementarity problems based on sign analysis, Accelerated double-relaxation modulus-based matrix splitting iteration method for linear complementarity problems, An efficient modulus-based matrix splitting iteration method for quasi-complementarity problems, Improved modulus-based matrix splitting iteration methods for quasi-complementarity problems, The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems, Accelerated relaxation modulus-based matrix splitting iteration method for linear complementarity problems, A class of two-step modulus-based matrix splitting iteration methods for quasi-complementarity problems, Fast modulus-based matrix splitting iteration methods for implicit complementarity problems, A generalized two-step modulus-based matrix splitting iteration method for implicit complementarity problems of H+-matrices

Cites Work

• Unnamed Item
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• Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems
• Two-sweep modulus-based matrix splitting iteration methods for linear complementarity problems
• On the convergence analysis of two-step modulus-based matrix splitting iteration method for linear complementarity problems
• Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
• Two-step modulus-based matrix splitting iteration method for linear complementarity problems
• On the modulus algorithm for the linear complementarity problem.
• Nonstationary extrapolated modulus algorithms for the solution of the linear complementarity problem
• Fixed point approach for complementarity problems
• Convergence of relaxed parallel multisplitting methods
• On the convergence of a basic iterative method for the implicit complementarity problem
• \(H\)-splittings and two-stage iterative methods
• The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations
• Parallel multisplitting two-stage iterative methods for large sparse systems of weakly nonlinear equations
• On the convergence of modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems with \(H_+\)-matrices
• Modulus-based matrix splitting algorithms for the quasi-complementarity problems
• Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems
• Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem
• On the convergence of additive and multiplicative splitting iterations for systems of linear equations
• Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems
• Improved convergence theorems of modulus-based matrix splitting iteration methods for linear complementarity problems
• Two-stage multisplitting iteration methods using modulus-based matrix splitting as inner iteration for linear complementarity problems
• New convergence proofs of modulus-based synchronous multisplitting iteration methods for linear complementarity problems
• Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems
• Convergence of accelerated modulus-based matrix splitting iteration methods for linear complementarity problem with an \(H_+\)-matrix
• 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
• A modified modulus method for symmetric positive-definite linear complementarity problems
• Modulus-based matrix splitting iteration methods for linear complementarity problems
• The Linear Complementarity Problem
• Two‐step waveform relaxation methods for implicit linear initial value problems
• Engineering and Economic Applications of Complementarity Problems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Modulus‐based multigrid methods for linear complementarity problems
• On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem
• On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems
• On SSOR‐like preconditioners for non‐Hermitian positive definite matrices
• Complementarity problems
• Complementarity problems