A new kind of modulus-based matrix splitting methods for vertical linear complementarity problems

DOI10.1016/j.aml.2022.108344zbMath1503.65133OpenAlexW4286689066WikidataQ114210449 ScholiaQ114210449MaRDI QIDQ2171161

Jie-Wen He, Seak Weng Vong

Publication date: 23 September 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108344

zbMATH Keywords

convergence analysisiteration methodsvertical linear complementarity problemsmodulus-based matrix splitting methods

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

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A modulus-based matrix splitting method for the vertical nonlinear complementarity problem ⋮ Relaxation modulus-based matrix splitting iteration method for vertical linear complementarity problem ⋮ Modulus-based synchronous multisplitting iteration methods without auxiliary variable for solving vertical linear complementarity problems ⋮ Improved modulus-based matrix splitting iteration methods for quasi-complementarity problems ⋮ Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems ⋮ New convergence results of the modulus-based methods for vertical linear complementarity problems

Cites Work

• Unnamed Item
• Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
• Two-step modulus-based matrix splitting iteration method for linear complementarity problems
• \(H\)-splittings and two-stage iterative methods
• The generalized Leontief input-output model and its application to the choice of new technology
• A preconditioned general modulus-based matrix splitting iteration method for linear complementarity problems of \(H\)-matrices
• A preconditioned two-step modulus-based matrix splitting iteration method for linear complementarity problem
• A generalization of irreducibility and diagonal dominance with applications to horizontal and vertical linear complementarity problems
• A class of new modulus-based matrix splitting methods for linear complementarity problem
• Projected splitting methods for vertical linear complementarity problems
• A modulus-based formulation for the vertical linear complementarity problem
• New modulus-based matrix splitting methods for implicit complementarity problem
• A modified general modulus-based matrix splitting method for linear complementarity problems of \(H\)-matrices
• A preconditioned modulus-based matrix multisplitting block iteration method for the linear complementarity problems with Toeplitz matrix
• Modulus-based matrix splitting iteration methods for linear complementarity problems
• A Smoothing Newton Method for Extended Vertical Linear Complementarity Problems
• Piecewise-Linear Theory of Nonlinear Networks
• A preconditioned modulus-based iteration method for solving linear complementarity problems ofH-matrices

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