Smoothing Newton method for generalized complementarity problems based on a new smoothing function

DOI10.1016/j.amc.2013.12.170zbMath1410.90229OpenAlexW1984239144MaRDI QIDQ1644521

Jiarong Shi, Xiuyun Zheng

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.170

zbMATH Keywords

global convergencesmoothing functionsmoothing Newton methodgeneralized nonlinear complementarity problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Related Items (3)

Nonmonotone smoothing Broyden-like method for generalized nonlinear complementarity problems ⋮ A partially smoothing Jacobian method for nonlinear complementarity problems with \(P_0\) function ⋮ A smooth Newton method with 3-1 piecewise NCP function for generalized nonlinear complementarity problem

Cites Work

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• A Regularized Smoothing Newton Method for Box Constrained Variational Inequality Problems with P0-Functions
• A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen--Mangasarian Smoothing Functions
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• Some Noninterior Continuation Methods for Linear Complementarity Problems
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• A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution

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