Optimality conditions and optimization methods for quartic polynomial optimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.01.074 ◽

2014 ◽

Vol 232 ◽

pp. 968-982 ◽

Author(s):

Zhiyou Wu ◽

Jing Tian ◽

Jing Quan ◽

Julien Ugon

Keyword(s):

Optimality Conditions ◽

Polynomial Optimization ◽

Optimization Methods ◽

Quartic Polynomial

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Optimality conditions and optimization methods for quartic polynomial optimization problems with mixed variables

2015 IEEE International Conference on Digital Signal Processing (DSP) ◽

10.1109/icdsp.2015.7251330 ◽

2015 ◽

Author(s):

Liang Zhang ◽

Zhi-You Wu

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Polynomial Optimization ◽

Optimization Methods ◽

Mixed Variables ◽

Quartic Polynomial ◽

Polynomial Optimization Problems

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Necessary Optimality Conditions and New Optimization Methods for Cubic Polynomial Optimization Problems with Mixed Variables

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9961-9 ◽

2011 ◽

Vol 153 (2) ◽

pp. 408-435 ◽

Author(s):

Z. Y. Wu ◽

J. Quan ◽

G. Q. Li ◽

J. Tian

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Polynomial Optimization ◽

Necessary Optimality Conditions ◽

Optimization Methods ◽

Mixed Variables ◽

Polynomial Optimization Problems ◽

Cubic Polynomial

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Global optimality conditions and optimization methods for constrained polynomial programming problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.04.040 ◽

2015 ◽

Vol 262 ◽

pp. 312-325 ◽

Author(s):

Zhiyou Wu ◽

Jing Tian ◽

Julien Ugon ◽

Liang Zhang

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Global Optimality ◽

Global Optimality Conditions ◽

Polynomial Programming

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Controlled Systems with Distributed Parameters: optimality conditions and optimization methods in class of smooth restricted controls

Series on Computers and Operations Research - Optimization and Optimal Control ◽

10.1142/9789812775368_0019 ◽

2003 ◽

pp. 297-305

Author(s):

O. V. Vasiliev

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Controlled Systems ◽

Distributed Parameters ◽

Systems With Distributed Parameters

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Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9885-4 ◽

2011 ◽

Vol 151 (2) ◽

pp. 241-259 ◽

Author(s):

Z. Y. Wu ◽

Y. J. Yang ◽

F. S. Bai ◽

M. Mammadov

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Knapsack Problems ◽

Global Optimality ◽

Global Optimality Conditions ◽

Quadratic Knapsack

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Polynomial optimization methods for determining lower bounds on decentralized assignability

2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton) ◽

10.1109/allerton.2016.7852351 ◽

2016 ◽

Author(s):

Alborz Alavian ◽

Michael Rotkowitz

Keyword(s):

Lower Bounds ◽

Polynomial Optimization ◽

Optimization Methods

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Improved approximation results on standard quartic polynomial optimization

Optimization Letters ◽

10.1007/s11590-016-1094-5 ◽

2016 ◽

Vol 11 (8) ◽

pp. 1767-1782 ◽

Author(s):

Chen Ling ◽

Hongjin He ◽

Liqun Qi

Keyword(s):

Polynomial Optimization ◽

Quartic Polynomial

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Global optimality conditions and optimization methods for polynomial programming problems

Journal of Global Optimization ◽

10.1007/s10898-015-0292-5 ◽

2015 ◽

Vol 62 (4) ◽

pp. 617-641

Author(s):

Z. Y. Wu ◽

J. Tian ◽

J. Ugon

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Global Optimality ◽

Global Optimality Conditions ◽

Polynomial Programming

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Application of Two Polynomial Optimization Methods for Computing Robust Stability and Robust Performance Margins

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.02974 ◽

2011 ◽

Vol 44 (1) ◽

pp. 7690-7695

Author(s):

Mehdi Pourseiedrezaei ◽

Mohammad Bozorg ◽

Ali Delavar-Khalafi

Keyword(s):

Robust Stability ◽

Polynomial Optimization ◽

Optimization Methods ◽

Robust Performance

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Global optimality conditions and optimization methods for quadratic assignment problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.068 ◽

2012 ◽

Vol 218 (11) ◽

pp. 6214-6231 ◽

Author(s):

Zhiyou Wu ◽

Yongjian Yang ◽

Fusheng Bai ◽

Jing Tian

Keyword(s):

Optimality Conditions ◽

Optimization Methods ◽

Quadratic Assignment ◽

Global Optimality ◽

Global Optimality Conditions ◽

Assignment Problems ◽

Quadratic Assignment Problems

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