Improved convergence theorems of modulus-based matrix splitting iteration method for nonlinear complementarity problems of \(H\)-matrices

DOI10.1007/s10092-017-0236-1zbMath1384.65036OpenAlexW2753851050MaRDI QIDQ1697289

Hua Zheng

Publication date: 15 February 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-017-0236-1

zbMATH Keywords

convergencenumerical examplenonlinear complementarity problem\(H\)-matrixmodulus-based matrix splitting iteration method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (18)

The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems ⋮ The modulus-based nonsmooth Newton's method for solving a class of nonlinear complementarity problems of \(P\)-matrices ⋮ Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems ⋮ A modulus-based formulation for the vertical linear complementarity problem ⋮ A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems ⋮ Newton-type methods for solving quasi-complementarity problems via sign-based equation ⋮ A smoothing Newton method based on the modulus equation for a class of weakly nonlinear complementarity problems ⋮ The sign-based methods for solving a class of nonlinear complementarity problems ⋮ The selection of the optimal parameter in the modulus-based matrix splitting algorithm for linear complementarity problems ⋮ A two-step modulus-based matrix splitting iteration method for solving nonlinear complementarity problems of \(H_+\)-matrices ⋮ On the equivalence between some projected and modulus-based splitting methods for linear complementarity problems ⋮ A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of \(H\)-matrices ⋮ Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems ⋮ Unnamed Item ⋮ Modulus-based matrix splitting methods for horizontal linear complementarity problems ⋮ An iteration method for nonlinear complementarity problems ⋮ Convergence analysis of a trust-region multidimensional filter method for nonlinear complementarity problems ⋮ A generalization of the equivalence relations between modulus-based and projected splitting methods

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