Minimization Methods for Non-Differentiable Functions

Language: English

Published by Springer, Springer Gabler Dez 2011, 2011

3642821200 / 9783642821202

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This item is printed on demand - Print on Demand Titel. Neuware -In recent years much attention has been given to the development of auto matic systems of planning, design and control in various branches of the national economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math ematical software packages for al,ltomatic systems of various levels and pur poses. Methods for minimizing functions with discontinuous gradients are gaining in importance and the ~xperts in the computational methods of mathematical programming tend to agree that progress in the development of algorithms for minimizing nonsmooth functions is the key to the con struction of efficient techniques for solving large scale problems. This monograph summarizes to a certain extent fifteen years of the author's work on developing generalized gradient methods for nonsmooth minimization. This work started in the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and design. In Chap. I we describe basic classes of nonsmooth functions that are dif ferentiable almost everywhere, and analyze various ways of defining generalized gradient sets. In Chap. 2 we study in detail various versions of the su bgradient method, show their relation to the methods of Fejer-type approximations and briefly present the fundamentals of e-subgradient methods.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 176 pp. Englisch.…

Seller Inventory # 9783642821202

Title
Minimization Methods for Non-Differentiable Functions
Author
N. Z. Shor
Publisher
Springer, Springer Gabler Dez 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642821200
ISBN 13
9783642821202
Item weight
277 grams
Dimensions
235x155x10 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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