A nonlinear Lagrangian method based on Log-Sigmoid function for nonconvex semidefinite programming

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2009.5.651 ◽

2009 ◽

Vol 5 (3) ◽

pp. 651-669 ◽

Author(s):

Yang Li ◽

◽

Liwei Zhang ◽

Keyword(s):

Semidefinite Programming ◽

Lagrangian Method ◽

Sigmoid Function ◽

Nonlinear Lagrangian ◽

Nonconvex Semidefinite Programming

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A New Nonlinear Lagrangian Method for Nonconvex Semidefinite Programming

Journal of Applied Analysis ◽

10.1515/jaa.2009.149 ◽

2009 ◽

Vol 15 (2) ◽

Author(s):

Y. Li ◽

L. Zhang

Keyword(s):

Semidefinite Programming ◽

Lagrangian Method ◽

Nonlinear Lagrangian ◽

Nonconvex Semidefinite Programming

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Convergence analysis of a nonlinear Lagrangian method for nonconvex semidefinite programming with subproblem inexactly solved

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2015.11.65 ◽

2015 ◽

Vol 11 (1) ◽

pp. 65-81

Author(s):

Yang Li ◽

◽

Yonghong Ren ◽

Yun Wang ◽

Jian Gu ◽

...

Keyword(s):

Semidefinite Programming ◽

Convergence Analysis ◽

Lagrangian Method ◽

Nonlinear Lagrangian ◽

Nonconvex Semidefinite Programming

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QSDPNAL: a two-phase augmented Lagrangian method for convex quadratic semidefinite programming

Mathematical Programming Computation ◽

10.1007/s12532-018-0137-6 ◽

2018 ◽

Vol 10 (4) ◽

pp. 703-743 ◽

Author(s):

Xudong Li ◽

Defeng Sun ◽

Kim-Chuan Toh

Keyword(s):

Semidefinite Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Two Phase ◽

Quadratic Semidefinite Programming

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The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming

Mathematical Programming ◽

10.1007/s10107-007-0105-9 ◽

2007 ◽

Vol 114 (2) ◽

pp. 349-391 ◽

Author(s):

Defeng Sun ◽

Jie Sun ◽

Liwei Zhang

Keyword(s):

Semidefinite Programming ◽

Rate Of Convergence ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Nonlinear Semidefinite Programming

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Nonlinear rescaling Lagrangians for nonconvex semidefinite programming

Optimization ◽

10.1080/02331934.2013.848861 ◽

2013 ◽

Vol 63 (6) ◽

pp. 899-920 ◽

Author(s):

Liwei Zhang ◽

Yang Li ◽

Jia Wu

Keyword(s):

Semidefinite Programming ◽

Nonlinear Rescaling ◽

Nonconvex Semidefinite Programming

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A Newton-CG Augmented Lagrangian Method for Semidefinite Programming

SIAM Journal on Optimization ◽

10.1137/080718206 ◽

2010 ◽

Vol 20 (4) ◽

pp. 1737-1765 ◽

Author(s):

Xin-Yuan Zhao ◽

Defeng Sun ◽

Kim-Chuan Toh

Keyword(s):

Semidefinite Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method

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A self-concordance property for nonconvex semidefinite programming

Mathematical Methods of Operations Research ◽

10.1007/s00186-011-0350-9 ◽

2011 ◽

Vol 74 (1) ◽

pp. 77-92

Author(s):

Rodrigo Garcés ◽

Walter Gómez ◽

Florian Jarre

Keyword(s):

Semidefinite Programming ◽

Nonconvex Semidefinite Programming

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On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming

Computational Optimization and Applications ◽

10.1007/s10589-021-00281-8 ◽

2021 ◽

Author(s):

R. Andreani ◽

E. H. Fukuda ◽

G. Haeser ◽

D. O. Santos ◽

L. D. Secchin

Keyword(s):

Global Convergence ◽

Semidefinite Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Jordan Algebras ◽

Nonlinear Semidefinite Programming

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SDPNAL $$+$$ + : a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints

Mathematical Programming Computation ◽

10.1007/s12532-015-0082-6 ◽

2015 ◽

Vol 7 (3) ◽

pp. 331-366 ◽

Author(s):

Liuqin Yang ◽

Defeng Sun ◽

Kim-Chuan Toh

Keyword(s):

Semidefinite Programming ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Semismooth Newton ◽

Nonnegative Constraints

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Optimality conditions for nonconvex semidefinite programming

Mathematical Programming ◽

10.1007/pl00011370 ◽

2000 ◽

Vol 88 (1) ◽

pp. 105-128 ◽

Author(s):

Anders Forsgren

Keyword(s):

Semidefinite Programming ◽

Optimality Conditions ◽

Nonconvex Semidefinite Programming

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