Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems

DOI10.1186/s13660-017-1593-7zbMath1392.65075OpenAlexW2781793179WikidataQ49474078 ScholiaQ49474078MaRDI QIDQ1688523

Quan Shi, Yang Cao, An Wang

Publication date: 8 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1593-7

zbMATH Keywords

convergencematrix splittingimplicit complementarity problemmodulus-based iterative method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (10)

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 ⋮ Relaxation modulus-based matrix splitting iteration method for vertical linear complementarity problem ⋮ The nonsmooth Newton's method for the horizontal nonlinear complementarity problem ⋮ The convergence of a modulus-based matrix splitting iteration method for solving the implicit complementarity problems ⋮ Two-step modulus-based matrix splitting iteration methods for implicit 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

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• Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
• On the modulus algorithm for the linear complementarity problem.
• Absolute value equations
• 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
• 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
• Convergence of accelerated modulus-based matrix splitting iteration methods for linear complementarity problem with an \(H_+\)-matrix
• 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
• Modulus Methods for Nonnegatively Constrained Image Restoration
• The Linear Complementarity Problem
• Engineering and Economic Applications of Complementarity Problems
• On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem
• Complementarity problems

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