Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1999
|
| Schriftenreihe: | Applied Optimization
22 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience |
| Beschreibung: | 1 Online-Ressource (VIII, 444 p) |
| ISBN: | 9781475763881 9781441948052 |
| ISSN: | 1384-6485 |
| DOI: | 10.1007/978-1-4757-6388-1 |
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| spelling | Fukushima, Masao Verfasser aut Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods edited by Masao Fukushima, Liqun Qi Boston, MA Springer US 1999 1 Online-Ressource (VIII, 444 p) txt rdacontent c rdamedia cr rdacarrier Applied Optimization 22 1384-6485 The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience Mathematics Functions, special Mathematical optimization Mathematics, general Mathematical Modeling and Industrial Mathematics Optimization Calculus of Variations and Optimal Control; Optimization Special Functions Mathematik Optimierung (DE-588)4043664-0 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1997 Lausanne gnd-content Optimierung (DE-588)4043664-0 s 2\p DE-604 Qi, Liqun Sonstige oth https://doi.org/10.1007/978-1-4757-6388-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fukushima, Masao Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods Mathematics Functions, special Mathematical optimization Mathematics, general Mathematical Modeling and Industrial Mathematics Optimization Calculus of Variations and Optimal Control; Optimization Special Functions Mathematik Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)1071861417 |
| title | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods |
| title_auth | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods |
| title_exact_search | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods |
| title_full | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods edited by Masao Fukushima, Liqun Qi |
| title_fullStr | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods edited by Masao Fukushima, Liqun Qi |
| title_full_unstemmed | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods edited by Masao Fukushima, Liqun Qi |
| title_short | Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods |
| title_sort | reformulation nonsmooth piecewise smooth semismooth and smoothing methods |
| topic | Mathematics Functions, special Mathematical optimization Mathematics, general Mathematical Modeling and Industrial Mathematics Optimization Calculus of Variations and Optimal Control; Optimization Special Functions Mathematik Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Mathematics Functions, special Mathematical optimization Mathematics, general Mathematical Modeling and Industrial Mathematics Optimization Calculus of Variations and Optimal Control; Optimization Special Functions Mathematik Optimierung Konferenzschrift 1997 Lausanne |
| url | https://doi.org/10.1007/978-1-4757-6388-1 |
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