Nonlinear rescaling Lagrangians for nonconvex semidefinite programming

DOI10.1080/02331934.2013.848861zbMath1291.90168OpenAlexW1978498881MaRDI QIDQ5169465

Jia Wu, Yang Li, Li-wei Zhang

Publication date: 10 July 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.848861

zbMATH Keywords

semidefinite programmingaugmented Lagrangiannonlinear Lagrangiandual algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Semidefinite programming (90C22)

Related Items (3)

Convergence of a weighted barrier algorithm for stochastic convex quadratic semidefinite optimization ⋮ Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property ⋮ Convergence analysis of a nonlinear Lagrangian method for nonconvex semidefinite programming with subproblem inexactly solved

Cites Work

• Unnamed Item
• On the solution of large-scale SDP problems by the modified barrier method using iterative solvers
• Properties of the augmented Lagrangian in nonlinear semidefinite optimization
• The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
• Modified barrier functions (theory and methods)
• Nonlinear rescaling vs. smoothing technique in convex optimization
• Über monotone Matrixfunktionen
• Zero duality gap for a class of nonconvex optimization problems
• Primal-dual nonlinear rescaling method with dynamic scaling parameter update
• Multiplier and gradient methods
• PENNON: Software for Linear and Nonlinear Matrix Inequalities
• Unconstrained Lagrangians in Nonlinear Programming
• Nonlinear leastpth optimization and nonlinear programming
• Asymptotic Analysis for Penalty and Barrier Methods in Convex and Linear Programming
• Penalty/Barrier Multiplier Methods for Convex Programming Problems
• Variational Analysis
• PENNON: A code for convex nonlinear and semidefinite programming
• Solving nonconvex SDP problems of structural optimization with stability control
• A dual approach to solving nonlinear programming problems by unconstrained optimization
• The Strong Second-Order Sufficient Condition and Constraint Nondegeneracy in Nonlinear Semidefinite Programming and Their Implications
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
• Definite and Semidefinite Quadratic Forms
• Log-sigmoid multipliers method in constrained optimization

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