Penalty and barrier methods for convex semidefinite programming

DOI10.1007/s00186-005-0054-0zbMath1137.90639OpenAlexW2079857468MaRDI QIDQ883081

Héctor Ramírez C., Alfred Auslender

Publication date: 31 May 2007

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-005-0054-0

zbMATH Keywords

Semidefinite programmingConvex analysisAsymptotic functionsPenalty and barrier methodsRecession functions

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25)

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Cites Work

• Unnamed Item
• Unnamed Item
• Modified barrier functions (theory and methods)
• Stable exponential-penalty algorithm with superlinear convergence
• A nonlinear programming algorithm based on non-coercive penalty functions
• A class of smoothing functions for nonlinear and mixed complementarity problems
• Asymptotic Analysis for Penalty and Barrier Methods in Convex and Linear Programming
• Penalty/Barrier Multiplier Methods for Convex Programming Problems
• Convex Analysis of Spectrally Defined Matrix Functions
• THE CENTRAL PATH IN SMOOTH CONVEX SEMIDEFINITE PROGRAMS
• Variational inequalities over the cone of semidefinite positive symmetric matrices and over the Lorentz cone
• Convex Analysis on the Hermitian Matrices
• Semidefinite Programming
• Penalty and Barrier Methods: A Unified Framework
• Convex Analysis
• On a class of hypoelliptic differential operators