Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7115750 | IFAC-PapersOnLine | 2017 | 6 Pages |
Abstract
Nonsmooth nonconvex optimization problems are considered in infinite dimensional sequence spaces lp with p Ð (0,1]. Our starting points are necessary optimality conditions in the form of a complementary system and a monotonically convergent algorithm for a regularized version of the original problem. We propose an algorithm for solving the necessary optimality condition based on a combination of the monotone scheme and an active-set strategy. Numerical results for different test cases are provided, e.g. for optimal control problems and microscopy image reconstruction.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Daria Ghilli, Karl Kunisch,