A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem

We propose a new method to solve nonlinear semidefinite complementarity problem by combining a continuous method and a trust-region-type method. At every iteration, we need to calculate a second-order cone subproblem. We show the well-definedness of the method. The global convergent result is estab...

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Main Authors: Ying Ji, Tienan Wang, Yijun Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/589731
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author Ying Ji
Tienan Wang
Yijun Li
author_facet Ying Ji
Tienan Wang
Yijun Li
author_sort Ying Ji
collection DOAJ
description We propose a new method to solve nonlinear semidefinite complementarity problem by combining a continuous method and a trust-region-type method. At every iteration, we need to calculate a second-order cone subproblem. We show the well-definedness of the method. The global convergent result is established.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-dc2fec6235234cc79f27b9acee6a7b552025-02-03T06:12:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/589731589731A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity ProblemYing Ji0Tienan Wang1Yijun Li2Harbin Institute of Technology, Room 519, Building 2H, 2 Yikuang Street, Nangang District, Harbin 150080, ChinaHarbin Institute of Technology, Room 519, Building 2H, 2 Yikuang Street, Nangang District, Harbin 150080, ChinaHarbin Institute of Technology, Room 519, Building 2H, 2 Yikuang Street, Nangang District, Harbin 150080, ChinaWe propose a new method to solve nonlinear semidefinite complementarity problem by combining a continuous method and a trust-region-type method. At every iteration, we need to calculate a second-order cone subproblem. We show the well-definedness of the method. The global convergent result is established.http://dx.doi.org/10.1155/2014/589731
spellingShingle Ying Ji
Tienan Wang
Yijun Li
A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
Abstract and Applied Analysis
title A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
title_full A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
title_fullStr A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
title_full_unstemmed A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
title_short A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem
title_sort continuous trust region type method for solving nonlinear semidefinite complementarity problem
url http://dx.doi.org/10.1155/2014/589731
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AT yijunli acontinuoustrustregiontypemethodforsolvingnonlinearsemidefinitecomplementarityproblem
AT yingji continuoustrustregiontypemethodforsolvingnonlinearsemidefinitecomplementarityproblem
AT tienanwang continuoustrustregiontypemethodforsolvingnonlinearsemidefinitecomplementarityproblem
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