On constrained optimization problems with nonsmooth cost functionals (Q1106729)

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.