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Download Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Applied Optimization) eBook

by Masao Fukushima,Liqun Qi

Download Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Applied Optimization) eBook
ISBN:
079235320X
Author:
Masao Fukushima,Liqun Qi
Category:
Mathematics
Language:
English
Publisher:
Springer; 1999 edition (November 30, 1998)
Pages:
444 pages
EPUB book:
1501 kb
FB2 book:
1741 kb
DJVU:
1670 kb
Other formats
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Rating:
4.6
Votes:
791


The concept of "reformulation" has long been playing an important role in mathematical programming

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.

Smoothing Newton Methods for Nonsmooth Dirichlet Problems. Liqun Qi. Series Title. Applied Optimization. Frictional Contact Algorithms Based on Semismooth Newton Methods. Well-Posed Problems and Error Bounds in Optimization. Numerical Experiments for a Class of Squared Smoothing Newton Methods for Box Constrained Variational Inequality Problems.

Автор: Masao Fukushima; Liqun Qi Название: Reformulation .

This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications.

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. Masao Fukushima, Liqun Qi. Springer Science & Business Media, 1999 - 441 من الصفحات. Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods المجلد 22 من Applied Optimization, ISSN 1384-6485.

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Start by marking Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods as Want to Read: Want to Read savin. ant to Read. Mo The concept of "reformulation" has long been playing an important role in mathematical programming.

Masao Fukushima, Masco Fashumio, Liqun Qi. The concept of "reformulation" has long been playing an important role in mathematical programming.

in Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods. Applied Optimization Volume 22, 1999, pp. 127-147. environ import . from pyomo. mpec import . M ConcreteModel(). Var(bounds (-1,2)).

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods (Applied Optimization). Mathematical Optimization and Economic Theory (Classics in Applied Mathematics). by Masao Fukushima and Liqun Qi 30 Nov 1998. by Michael D. Intriligator 1 Jan 1987.

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.