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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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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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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Convergence analysis of an augmented Lagrangian method for mathematical programs with complementarity constraints

Nonlinear Analysis ◽

10.1016/j.na.2005.03.027 ◽

2005 ◽

Vol 63 (5-7) ◽

pp. e2247-e2256 ◽

Author(s):

X.Q. Yang ◽

X.X. Huang

Keyword(s):

Convergence Analysis ◽

Augmented Lagrangian ◽

Augmented Lagrangian Method ◽

Lagrangian Method ◽

Complementarity Constraints ◽

Mathematical Programs

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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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An inexact non-interior continuation method for semidefinite programming: convergence analysis and numerical results

Numerical Algorithms ◽

10.1007/s11075-015-0093-4 ◽

2016 ◽

Vol 73 (1) ◽

pp. 219-244

Author(s):

Aifan Ling

Keyword(s):

Semidefinite Programming ◽

Convergence Analysis ◽

Continuation Method ◽

Numerical Results

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Convergence Analysis of an Inexact Infeasible Interior Point Method for Semidefinite Programming

Computational Optimization and Applications ◽

10.1023/b:coap.0000044183.43473.34 ◽

2004 ◽

Vol 29 (3) ◽

pp. 289-313 ◽

Author(s):

Stefania Bellavia ◽

Sandra Pieraccini

Keyword(s):

Semidefinite Programming ◽

Convergence Analysis ◽

Interior Point ◽

Interior Point Method ◽

Point Method ◽

Infeasible Interior Point Method

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Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints

Journal of Applied Mathematics and Computing ◽

10.1007/bf02936070 ◽

2003 ◽

Vol 13 (1-2) ◽

pp. 1-10 ◽

Author(s):

Li-Wei Zhang ◽

Yong-Jin Liu

Keyword(s):

Nonlinear Programming ◽

Convergence Analysis ◽

Inequality Constraints ◽

Nonlinear Lagrangian ◽

Nonlinear Lagrangian Algorithm

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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 Note on Convergence Analysis of an SQP-Type Method for Nonlinear Semidefinite Programming

Journal of Inequalities and Applications ◽

10.1155/2008/218345 ◽

2008 ◽

Vol 2008 ◽

pp. 1-10 ◽

Author(s):

Yun Wang ◽

Shaowu Zhang ◽

Liwei Zhang

Keyword(s):

Semidefinite Programming ◽

Convergence Analysis ◽

Nonlinear Semidefinite Programming ◽

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