Canonical duality theory and triality for solving general global optimization problems in complex systems

Daniel Morales-Silva; David Gao

doi:10.2140/memocs.2015.3.139

Canonical duality theory and triality for solving general global optimization problems in complex systems

Mathematics and Mechanics of Complex Systems ◽

10.2140/memocs.2015.3.139 ◽

2015 ◽

Vol 3 (2) ◽

pp. 139-161 ◽

Cited By ~ 3

Author(s):

Daniel Morales-Silva ◽

David Gao

Keyword(s):

Global Optimization ◽

Complex Systems ◽

Duality Theory ◽

Optimization Problems ◽

Canonical Duality Theory ◽

Canonical Duality

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RETRACTED: Canonical duality theory for solving nonconvex/discrete constrained global optimization problems

Mathematics and Mechanics of Solids ◽

10.1177/1081286515591087 ◽

2015 ◽

Vol 21 (3) ◽

pp. NP192-NP193 ◽

Cited By ~ 2

Author(s):

Ning Ruan ◽

David Yang Gao

Keyword(s):

Global Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Constrained Global Optimization ◽

Canonical Duality Theory ◽

Canonical Duality

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Canonical duality theory: Unified understanding and generalized solution for global optimization problems

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2009.06.009 ◽

2009 ◽

Vol 33 (12) ◽

pp. 1964-1972 ◽

Cited By ~ 42

Author(s):

David Yang Gao

Keyword(s):

Global Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Generalized Solution ◽

Canonical Duality Theory ◽

Canonical Duality

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Canonical Duality Theory for Solving Nonconvex/Discrete Constrained Global Optimization Problems

Advances in Mechanics and Mathematics - Canonical Duality Theory ◽

10.1007/978-3-319-58017-3_9 ◽

2017 ◽

pp. 187-201 ◽

Cited By ~ 2

Author(s):

Ning Ruan ◽

David Yang Gao

Keyword(s):

Global Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Constrained Global Optimization ◽

Canonical Duality Theory ◽

Canonical Duality

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On canonical duality theory and constrained optimization problems

Journal of Global Optimization ◽

10.1007/s10898-021-01021-2 ◽

2021 ◽

Author(s):

Constantin Zălinescu

Keyword(s):

Constrained Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Canonical Duality Theory ◽

Canonical Duality

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Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization

Advances in Mechanics and Mathematics - Advances in Applied Mathematics and Global Optimization ◽

10.1007/978-0-387-75714-8_8 ◽

2009 ◽

pp. 257-326 ◽

Cited By ~ 18

Author(s):

David Y. Gao ◽

Hanif D. Sherali

Keyword(s):

Global Optimization ◽

Duality Theory ◽

Canonical Duality Theory ◽

Canonical Duality

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On Constrained Optimization Problems Solved Using the Canonical Duality Theory

Advances in Intelligent Systems and Computing - Optimization of Complex Systems: Theory, Models, Algorithms and Applications ◽

10.1007/978-3-030-21803-4_16 ◽

2019 ◽

pp. 155-163 ◽

Cited By ~ 2

Author(s):

Constantin Zălinescu

Keyword(s):

Constrained Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Constrained Optimization Problems ◽

Canonical Duality Theory ◽

Canonical Duality

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A Novel Canonical Duality Theory for Solving 3-D Topology Optimization Problems

Advances in Mechanics and Mathematics - Advances in Mathematical Methods and High Performance Computing ◽

10.1007/978-3-030-02487-1_13 ◽

2019 ◽

pp. 209-246 ◽

Cited By ~ 1

Author(s):

David Gao ◽

Elaf Jaafar Ali

Keyword(s):

Topology Optimization ◽

Duality Theory ◽

Optimization Problems ◽

Canonical Duality Theory ◽

Canonical Duality

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On quadratically constrained quadratic optimization problems and canonical duality theory

Optimization Letters ◽

10.1007/s11590-020-01548-5 ◽

2020 ◽

Vol 14 (8) ◽

pp. 2227-2245

Author(s):

Constantin Zălinescu

Keyword(s):

Duality Theory ◽

Optimization Problems ◽

Quadratic Optimization ◽

Canonical Duality Theory ◽

Canonical Duality ◽

Constrained Quadratic Optimization ◽

Quadratically Constrained

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On modeling and global solutions for d.c. optimization problems by canonical duality theory

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.10.010 ◽

2017 ◽

Vol 296 ◽

pp. 168-181 ◽

Cited By ~ 4

Author(s):

Zhong Jin ◽

David Y. Gao

Keyword(s):

Duality Theory ◽

Optimization Problems ◽

Global Solutions ◽

Canonical Duality Theory ◽

Canonical Duality

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Canonical Duality Theory and Algorithms for Solving Some Challenging Problems in Global Optimization and Decision Science

10.21236/ada628112 ◽

2015 ◽

Author(s):

David Y. Gao

Keyword(s):

Global Optimization ◽

Duality Theory ◽

Decision Science ◽

Canonical Duality Theory ◽

Canonical Duality

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