On constrained optimization problems with nonsmooth cost functionals

DOI10.1007/BF01443621zbMath0651.90064MaRDI QIDQ1106729

C. J. Goh, Kok Lay Teo

Publication date: 1988

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

zbMATH Keywords

nonsmooth optimizationfunctional constraints\(L_ 1\)-functionalsenforced smoothing

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)

Related Items (8)

Survey of Bundle Methods for Nonsmooth Optimization ⋮ A new computational strategy for optimal control problem with a cost on changing control ⋮ Second-order conditions in c^{1, 1}optimization with applications ⋮ The Worst-Case DFT Filter Bank Design with Subchannel Variations ⋮ The subdifferential descent method in a nonsmooth variational problem ⋮ Optimal control with a cost on changing control ⋮ A computational algorithm for functional inequality constrained optimization problems ⋮ Application of the subdifferential descent method to a classical nonsmooth variational problem

Uses Software

• HSL
• IMSL Numerical Libraries
• MINOS
• NLPQL

Cites Work

• Technical note: Directional derivatives in nonsmooth optimization
• Second order optimality conditions for the \(L_ 1\)-minimization problem
• Nonlinear \(L_1\) approximation of smooth functions
• Nondifferentiable optimization by smooth approximations
• A simple computational procedure for optimization problems with functional inequality constraints
• An Algorithm for $l_1 $-Norm Minimization with Application to Nonlinear $l_1 $-Approximation
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