Smoothing approximation to \(l_1\) exact penalty function for inequality constrained optimization

DOI10.1016/j.amc.2012.09.042zbMath1309.90103OpenAlexW2046788573MaRDI QIDQ2018997

Shujun Lian

Publication date: 26 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.042

zbMATH Keywords

constrained optimizationsmooth exact penalty functionexact penalty functionsecond order sufficient condition

Mathematics Subject Classification ID

Nonlinear programming (90C30)

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Cites Work

• Unnamed Item
• On the smoothing of the square-root exact penalty function for inequality constrained optimization
• On smoothing exact penalty functions for nonlinear constrained optimization problems
• A globally convergent algorithm for exact penalty functions
• A nonlinear programming algorithm based on non-coercive penalty functions
• Value-estimation function method for constrained global optimization
• Quadratic smoothing approximation to \(l_{1}\) exact penalty function in global optimazation
• On Smoothing Exact Penalty Functions for Convex Constrained Optimization
• Asymptotic Analysis for Penalty and Barrier Methods in Convex and Linear Programming
• An exact lower order penalty function and its smoothing in nonlinear programming
• Lower order calmness and exact penalty function
• Non-Linear Programming Via Penalty Functions