Nonlinear rescaling Lagrangians for nonconvex semidefinite programming

Liwei Zhang, Yang Li, Jia Wu

Type: Article

Publication Date: 2013-10-28

Citations: 5

DOI: https://doi.org/10.1080/02331934.2013.848861

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Optimization - View

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+	Convergence analysis of a nonlinear Lagrangian method for nonconvex semidefinite programming with subproblem inexactly solved	2014	Jing Wang Yong-Hong Ren Yun Wang Jian Gu
+	Convergence of a Weighted Barrier Algorithm for Stochastic Convex Quadratic Semidefinite Optimization	2022	Baha Alzalg Asma Gafour
+	The Nonconvex Second-Order Cone: Algebraic Structure Toward Optimization	2024	Baha Alzalg Lilia Benakkouche
+ PDF Chat	Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property	2018	М. В. Долгополик

Works Cited by This (25)

Action	Title	Year	Authors
+	Perturbation Analysis of Optimization Problems	2000	J. Frédéric Bonnans Alexander Shapiro
+ PDF Chat	Constrained Optimization and Lagrange Multiplier Methods	1982	Dimitri P. Bertsekas
+ PDF Chat	Unconstrained Lagrangians in Nonlinear Programming	1975	O. L. Mangasarian
+	Zero duality gap for a class of nonconvex optimization problems	1995	Duan Li
+	Penalty/Barrier Multiplier Methods for Convex Programming Problems	1997	Aharon Ben‐Tal Michael Zibulevsky
+	The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming	2007	Defeng Sun Jie Sun Liwei Zhang
+	On the solution of large-scale SDP problems by the modified barrier method using iterative solvers	2006	Michal Kočvara Michael Stingl
+	Asymptotic Analysis for Penalty and Barrier Methods in Convex and Linear Programming	1997	A. Auslender Roberto Cominetti Mounir Haddou
+	PENNON: A code for convex nonlinear and semidefinite programming	2003	Michal Kočvara Michael Stingl
+	Properties of the Augmented Lagrangian in Nonlinear Semidefinite Optimization	2006	Jie Sun L. W. Zhang Yue Wu