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   Articles with "nonlinear complementarity" as a keyword



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A smoothing Levenberg-Marquardt method for nonlinear complementarity problems

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recommendations! Published in 2018 at "Numerical Algorithms"

DOI: 10.1007/s11075-018-0485-3

Abstract: As is well-known, Jacobian smoothing method is a popular one to solve nonlinear complementarity problems, in which the Jacobian consistency is stressed. By investigating an element of related functions’ B-differential, a smoothing Levenberg-Marquardt(LM) method is… read more here.

Keywords: levenberg marquardt; complementarity problems; nonlinear complementarity; marquardt method ... See more keywords
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Nonmonotone smoothing Broyden-like method for generalized nonlinear complementarity problems

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recommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-016-1009-8

Abstract: Based on a new symmetrically perturbed smoothing function, the generalized nonlinear complementarity problem defined on a polyhedral cone is reformulated as a system of smoothing equations. Then we suggest a new nonmonotone derivative-free line search… read more here.

Keywords: smoothing broyden; nonlinear complementarity; like method; generalized nonlinear ... See more keywords
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Unconstrained optimization reformulation for stochastic nonlinear complementarity problems

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1636969

Abstract: Abstract We present an unconstrained optimization reformulation for the stochastic nonlinear complementarity problem in this paper, which aims at minimizing an expected residual defined by the D-gap function. We discuss the existence of a solution… read more here.

Keywords: reformulation stochastic; stochastic nonlinear; nonlinear complementarity; unconstrained optimization ... See more keywords
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A smooth Newton method with 3-1 piecewise NCP function for generalized nonlinear complementarity problem

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recommendations! Published in 2018 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2017.1329531

Abstract: ABSTRACT In this paper, based on the 3-1 piecewise nonlinear complementarity problem (NCP) function, we proposed a smoothing Newton-type method for the generalized nonlinear complementarity problem (GNCP) with a modified non-monotone line search. The algorithm… read more here.

Keywords: ncp function; nonlinear complementarity; method; complementarity problem ... See more keywords
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Convergence Analysis of a Trust-Region Multidimensional Filter Method for Nonlinear Complementarity Problems

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recommendations! Published in 2020 at "Mathematical Problems in Engineering"

DOI: 10.1155/2020/2539196

Abstract: For solving nonlinear complementarity problems, a new algorithm is proposed by using multidimensional filter techniques and a trust-region method. The algorithm is shown to be globally convergent under the reasonable assumptions and does not depend… read more here.

Keywords: nonlinear complementarity; complementarity problems; multidimensional filter; trust region ... See more keywords