Selected Publications

Keyword(s): optimization

[1]

P. Bachhiesl, H. Hutten, F. Kappel, and H. Scharfetter. Optimale Prozeßkontrolle der Dialysetherapie. Biomedizinische Technik, 42, Ergänzungsband 2:7–8, 1997.

[2]

P. Bachhiesl, H. Hutten, F. Kappel, and H. Scharfetter. Optimierungsverfahren zur Prozeßkontrolle bei der Dialyse. In 42. Internationales Wissenschaftliches Kolloquium, Vol. 2, pages 79–84, 1997. ISSN 0943-7207.

[3]

P. Bachhiesl, H. Hutten, F. Kappel, and H. Scharfetter. Ein Ansatz zur Optimierung der Prozeßsteuerung bei der Hämodialyse. Automatisierungstechnik, 47:38–48, 1999.

[4]

F. Kappel and A. V. Kuntsevich. An implementation of Shor's r-algorithm. Computational Optimization and Applications, 15:193–205, 2000.

 

Here we introduce a new implementation of well-known Shor's r-algorithm with space dilations along the difference of two successive (sub)gradients for minimization of a nonlinear (non-smooth) function [Sh85]. The modifications made to Shor's algorithm are heuristicand concern the termination criterion and the line search strategy. A large number of test runs indicate that this implementation is to some degree robust, efficient and accurate. We hope that this implementation of Shor's r-algorithm will prove to be useful for solving a wide class of non-smooth optimization problems.

[5]

P. Bachhiesl, M. Hintermüller, H. Hutten, F. Kappel, and H. Scharfetter. Efficient computation of optimal controls for the exchange processes during the dialysis therapy. Computational Optimization and Applications, 18:161–174, 2001.