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On constrained optimization problems with nonsmooth cost functionals. (English) Zbl 0651.90064

The authors present a computational procedure for minimizing a class of \(L_ 1\)-functionals subject to conventional as well as functional constraints. A concept of enforced smoothing is introduced to “smooth” the cost functional constraints. Using this concept together with a method of converting the functional constraints into conventional equality constraints, the authors obtain a standard nonlinearly constrained mathematical programming problem, which can be solved by any standard optimization software package.
Reviewer: G.Chen

MSC:

90C30 Nonlinear programming
49M37 Numerical methods based on nonlinear programming
65K05 Numerical mathematical programming methods
Full Text: DOI

References:

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