Exact penalty functions in isoperimetric problems

DOI10.1080/02331934.2010.534166zbMath1237.90228OpenAlexW2048283847MaRDI QIDQ2996796

G. Sh. Tamasyan, V. F. Dem'yanov

Publication date: 3 May 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.534166

zbMATH Keywords

nonsmooth analysissubdifferentialcalculus of variationsisoperimetric problemsexact penaltiesmethod of hypodifferential descent

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52)

Related Items (8)

Comparative study of two fast algorithms for projecting a point to the standard simplex ⋮ Complexity Estimation for an Algorithm of Searching for Zero of a Piecewise Linear Convex Function ⋮ Numerical methods in problems of calculus of variations for functionals depending on higher order derivatives ⋮ A convergence analysis of the method of codifferential descent ⋮ Energy dissipating flows for solving nonlinear eigenpair problems ⋮ Method of Steepest Descent for Two-Dimensional Problems of Calculus of Variations ⋮ The method of codifferential descent for convex and global piecewise affine optimization ⋮ Direct Methods in the Parametric Moving Boundary Variational Problem

Cites Work

• Optimal control problems via exact penalty functions
• Exact penalization via dini and hadamard conditional derivatives
• Survey of penalty, exact-penalty and multiplier methods from 1968 to 1993
• An old problem and new tools
• Non-Linear Programming Via Penalty Functions
• Conditions for an extremum in metric spaces

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