Applied Optimization

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Editors: Fukushima, Masao, Qi, Liqun (Eds.)

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About this book

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.

Table of contents (22 chapters)

Table of contents (22 chapters)
  • Solving Complementarity Problems by Means of a New Smooth Constrained Nonlinear Solver

    Pages 1-24

    Andreani, Roberto (et al.)

  • ε-Enlargements of Maximal Monotone Operators: Theory and Applications

    Pages 25-43

    Burachik, Regina S. (et al.)

  • A Non-Interior Predictor-Corrector Path-Following Method for LCP

    Pages 45-63

    Burke, James V. (et al.)

  • Smoothing Newton Methods for Nonsmooth Dirichlet Problems

    Pages 65-79

    Chen, Xiaojun (et al.)

  • Frictional Contact Algorithms Based on Semismooth Newton Methods

    Pages 81-116

    Christensen, Peter W. (et al.)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-1-4757-6388-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
Softcover $169.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
Editors
  • Masao Fukushima
  • Liqun Qi
Series Title
Applied Optimization
Series Volume
22
Copyright
1999
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-6388-1
DOI
10.1007/978-1-4757-6388-1
Hardcover ISBN
978-0-7923-5320-1
Softcover ISBN
978-1-4419-4805-2
Series ISSN
1384-6485
Edition Number
1
Number of Pages
VIII, 444
Topics