A continuation method for nonlinear complementarity problems over symmetric cones
In this paper, we introduce a new P-type property for nonlinear functions defined over Euclidean Jordan algebras, and study a continuation method for nonlinear complementarity problems over symmetric cones. This new P-type property represents a new class of nonmonotone nonlinear complementarity prob...
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sg-ntu-dr.10356-915502023-02-28T19:37:34Z A continuation method for nonlinear complementarity problems over symmetric cones Chua, Chek Beng. Yi, Peng. School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics In this paper, we introduce a new P-type property for nonlinear functions defined over Euclidean Jordan algebras, and study a continuation method for nonlinear complementarity problems over symmetric cones. This new P-type property represents a new class of nonmonotone nonlinear complementarity problems that can be solved numerically. Accepted version 2011-06-22T08:51:14Z 2019-12-06T18:07:42Z 2011-06-22T08:51:14Z 2019-12-06T18:07:42Z 2010 2010 Journal Article Chua, C. B., & Yi, P. (2010). A continuation method for nonlinear complementarity problems over symmetric cones. SIAM journal on optimization, 20(5), 2560-2583. 1052-6234 https://hdl.handle.net/10356/91550 http://hdl.handle.net/10220/6829 10.1137/090755321 155103 en SIAM journal on optimization © 2010 Society for Industrial and Applied Mathematics. This is the author created version of a work that has been peer reviewed and accepted for publication by SIAM Journal on Optimization, Society for Industrial and Applied Mathematics. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1137/090755321]. 24 p. application/pdf |
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DRNTU::Science::Mathematics::Applied mathematics Chua, Chek Beng. Yi, Peng. A continuation method for nonlinear complementarity problems over symmetric cones |
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In this paper, we introduce a new P-type property for nonlinear functions defined over Euclidean Jordan algebras, and study a continuation method for nonlinear complementarity problems over symmetric cones. This new P-type property represents a new class of nonmonotone nonlinear complementarity problems that can be solved numerically. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Chua, Chek Beng. Yi, Peng. |
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Article |
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Chua, Chek Beng. Yi, Peng. |
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Chua, Chek Beng. |
title |
A continuation method for nonlinear complementarity problems over symmetric cones |
title_short |
A continuation method for nonlinear complementarity problems over symmetric cones |
title_full |
A continuation method for nonlinear complementarity problems over symmetric cones |
title_fullStr |
A continuation method for nonlinear complementarity problems over symmetric cones |
title_full_unstemmed |
A continuation method for nonlinear complementarity problems over symmetric cones |
title_sort |
continuation method for nonlinear complementarity problems over symmetric cones |
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2011 |
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https://hdl.handle.net/10356/91550 http://hdl.handle.net/10220/6829 |
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