Two approaches for solving mathematical programs with
second-order cone complementarity constraints

Xi-De Zhu;  ; Li-Ping Pang; Gui-Hua Lin;  ;

doi:10.3934/jimo.2015.11.951

Two approaches for solving mathematical programs with second-order cone complementarity constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2015.11.951 ◽

2015 ◽

Vol 11 (3) ◽

pp. 951-968 ◽

Cited By ~ 1

Author(s):

Xi-De Zhu ◽

◽

Li-Ping Pang ◽

Gui-Hua Lin ◽

◽

...

Keyword(s):

Second Order ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Second Order Cone

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Necessary Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-013-0250-7 ◽

2013 ◽

Vol 22 (1) ◽

pp. 59-78 ◽

Cited By ~ 8

Author(s):

Yan-Chao Liang ◽

Xi-De Zhu ◽

Gui-Hua Lin

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Second Order Cone

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First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints

SIAM Journal on Optimization ◽

10.1137/16m1055554 ◽

2016 ◽

Vol 26 (4) ◽

pp. 2820-2846 ◽

Cited By ~ 5

Author(s):

Jane J. Ye ◽

Jinchuan Zhou

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Complementarity Constraints ◽

First Order ◽

Mathematical Programs ◽

Second Order Cone ◽

First Order Optimality Conditions

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Convergence Properties of a Smoothing Approach for Mathematical Programs with Second-Order Cone Complementarity Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-011-0190-z ◽

2011 ◽

Vol 19 (4) ◽

pp. 609-646 ◽

Cited By ~ 12

Author(s):

Yi Zhang ◽

Liwei Zhang ◽

Jia Wu

Keyword(s):

Second Order ◽

Complementarity Constraints ◽

Convergence Properties ◽

Mathematical Programs ◽

Second Order Cone

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Mathematical Programs with Second-Order Cone Complementarity Constraints: Strong Stationarity and Approximation Method

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-01464-w ◽

2019 ◽

Vol 181 (2) ◽

pp. 521-540

Author(s):

Xide Zhu ◽

Jin Zhang ◽

Jinchuan Zhou ◽

Xinmin Yang

Keyword(s):

Approximation Method ◽

Second Order ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Strong Stationarity ◽

Second Order Cone

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First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints

Journal of Global Optimization ◽

10.1007/s10898-015-0295-2 ◽

2015 ◽

Vol 63 (2) ◽

pp. 253-279 ◽

Cited By ~ 2

Author(s):

Yi Zhang ◽

Jia Wu ◽

Liwei Zhang

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Complementarity Constraints ◽

First Order ◽

Mathematical Programs ◽

Second Order Cone

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Semidefinite relaxation method for polynomial optimization with second-order cone complementarity constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2021030 ◽

2017 ◽

Vol 13 (5) ◽

pp. 0-0

Author(s):

Lin Zhu ◽

◽

Xinzhen Zhang

Keyword(s):

Polynomial Optimization ◽

Relaxation Method ◽

Second Order ◽

Semidefinite Relaxation ◽

Complementarity Constraints ◽

Second Order Cone

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Convergence analysis of a smoothing SAA method for a stochastic mathematical program with second-order cone complementarity constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2020050 ◽

2017 ◽

Vol 13 (5) ◽

pp. 0-0

Author(s):

Li Chu ◽

◽

Bo Wang ◽

Jie Zhang ◽

Hong-Wei Zhang ◽

...

Keyword(s):

Convergence Analysis ◽

Mathematical Program ◽

Second Order ◽

Complementarity Constraints ◽

Second Order Cone

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Convergence Properties of a Second Order Augmented Lagrangian Method for Mathematical Programs with Complementarity Constraints

SIAM Journal on Optimization ◽

10.1137/17m1125698 ◽

2018 ◽

Vol 28 (3) ◽

pp. 2574-2600 ◽

Cited By ~ 8

Author(s):

Roberto Andreani ◽

Leonardo D. Secchin ◽

Paulo J. S. Silva

Keyword(s):

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Second Order ◽

Complementarity Constraints ◽

Convergence Properties ◽

Mathematical Programs

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Smoothing Method for Nonlinear Second-Order Cone Programs with Complementarity Constraints and Its Application to the Smart House Scheduling Problem

Transactions of the Institute of Systems Control and Information Engineers ◽

10.5687/iscie.26.34 ◽

2013 ◽

Vol 26 (1) ◽

pp. 34-44

Author(s):

Keisuke Takasu ◽

Yoichi Tanaka ◽

Masao Fukushima

Keyword(s):

Second Order ◽

Smoothing Method ◽

Scheduling Problem ◽

Complementarity Constraints ◽

Second Order Cone ◽

Smart House

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A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations

Journal of Global Optimization ◽

10.1007/s10898-012-9880-9 ◽

2012 ◽

Vol 55 (2) ◽

pp. 359-385 ◽

Cited By ~ 5

Author(s):

Jia Wu ◽

Liwei Zhang ◽

Yi Zhang

Keyword(s):

Newton Method ◽

Second Order ◽

Smoothing Newton Method ◽

Generalized Equations ◽

Mathematical Programs ◽

Second Order Cone

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