Minimization Methods for Non-Differentiable Functions (Springer Series in Computational Mathematics)

Shor, N.Z.

ISBN 10: 3642821200 / ISBN 13: 9783642821202

Published by Springer, 2011

About this Item

This is a pre-loved book that shows moderate signs of wear from previous reading. You may notice creases, edge wear, or a cracked spine, but it remains in solid, readable condition.Please note:-May include library or rental stickers, stamps, or markings.-Supplemental materials e.g., CDs, access codes, inserts are not guaranteed.-Box sets may not come with the original outer box. If it does, the box will not be in perfect condition. -Sourced from donation centers; authenticity not verified with publisher. Your satisfaction is our top priority! If you have any questions or concerns about your order, please donā t hesitate to reach out. Thank you for shopping with us and supporting small businessā happy reading!

Seller Inventory # STM.5E5

Bibliographic Details

• Title: Minimization Methods for Non-Differentiable Functions (Springer Series in Computational Mathematics)
• Publisher: Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 3642821200
• ISBN 13: 9783642821202
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.