On saddle points of a class of augmented lagrangian functions

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2007.3.693 ◽

2007 ◽

Vol 3 (4) ◽

pp. 693-700 ◽

Author(s):

Qian Liu ◽

◽

Xinmin Yang ◽

Heung Wing Joseph Lee ◽

◽

...

Keyword(s):

Augmented Lagrangian ◽

Saddle Points ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property

Journal of Global Optimization ◽

10.1007/s10898-017-0603-0 ◽

2018 ◽

Vol 71 (2) ◽

pp. 237-296 ◽

Author(s):

M. V. Dolgopolik

Keyword(s):

Constrained Optimization ◽

Augmented Lagrangian ◽

Saddle Points ◽

Exact Penalty ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions ◽

Cone Constrained Optimization

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Zero duality and saddle points of a class of augmented Lagrangian functions in constrained non-convex optimization

Optimization ◽

10.1080/02331930802355416 ◽

2008 ◽

Vol 57 (5) ◽

pp. 655-667 ◽

Author(s):

Qian Liu ◽

Xinmin Yang

Keyword(s):

Convex Optimization ◽

Augmented Lagrangian ◽

Saddle Points ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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Global saddle points of nonlinear augmented Lagrangian functions

Journal of Global Optimization ◽

10.1007/s10898-016-0456-y ◽

2016 ◽

Vol 68 (1) ◽

pp. 125-146 ◽

Author(s):

Changyu Wang ◽

Qian Liu ◽

Biao Qu

Keyword(s):

Augmented Lagrangian ◽

Saddle Points ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions I: Parametric Exactness

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1238-0 ◽

2018 ◽

Vol 176 (3) ◽

pp. 728-744 ◽

Author(s):

M. V. Dolgopolik

Keyword(s):

Augmented Lagrangian ◽

Unified Approach ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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Duality in nonlinear programs using augmented Lagrangian functions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90236-8 ◽

1987 ◽

Vol 121 (1) ◽

pp. 39-56 ◽

Author(s):

Amnon Gonen ◽

Mordecai Avriel

Keyword(s):

Augmented Lagrangian ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions ◽

Nonlinear Programs

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The use of augmented lagrangian functions for sensitivity analysis in nonlinear programming

Mathematical Programming ◽

10.1007/bf01593794 ◽

1977 ◽

Vol 12 (1) ◽

pp. 281-284 ◽

Author(s):

J. D. Buys ◽

R. Gonin

Keyword(s):

Sensitivity Analysis ◽

Nonlinear Programming ◽

Augmented Lagrangian ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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Approximate Augmented Lagrangian Functions and Nonlinear Semidefinite Programs

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0702-6 ◽

2006 ◽

Vol 22 (5) ◽

pp. 1283-1296 ◽

Author(s):

X. X. Huang ◽

K. L. Teo ◽

X. Q. Yang

Keyword(s):

Augmented Lagrangian ◽

Lagrangian Functions ◽

Semidefinite Programs ◽

Augmented Lagrangian Functions

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A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions II: Extended Exactness

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1239-z ◽

2018 ◽

Vol 176 (3) ◽

pp. 745-762

Author(s):

M. V. Dolgopolik

Keyword(s):

Augmented Lagrangian ◽

Unified Approach ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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On Exact Augmented Lagrangian Functions in Nonlinear Programming

Nonlinear Optimization and Applications ◽

10.1007/978-1-4899-0289-4_7 ◽

1996 ◽

pp. 85-100 ◽

Author(s):

Gianni Di Pillo ◽

Stefano Lucidi

Keyword(s):

Nonlinear Programming ◽

Augmented Lagrangian ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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Exact augmented Lagrangian functions for nonlinear semidefinite programming

Computational Optimization and Applications ◽

10.1007/s10589-018-0017-z ◽

2018 ◽

Vol 71 (2) ◽

pp. 457-482 ◽

Author(s):

Ellen H. Fukuda ◽

Bruno F. Lourenço

Keyword(s):

Semidefinite Programming ◽

Augmented Lagrangian ◽

Nonlinear Semidefinite Programming ◽

Lagrangian Functions ◽

Augmented Lagrangian Functions

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