Nonsmooth Vector Functions and Continuous Optimization

Name: Nonsmooth Vector Functions and Continuous Optimization
Brand: Springer-Verlag New York Inc.
SKU: 9780387737164
Price: 38039 HUF
Availability: InStock

Szerző: Vaithilingam Jeyakumar, D. Luc

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten

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A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth c...

Információk a könyvről

Szerző

Vaithilingam Jeyakumar, D. Luc

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2007

oldal

270

EAN

9780387737164

ISBN

0387737162

Enbook ID

01382680

Kiadó

Springer-Verlag New York Inc.

Súly

588

Méretek

155 x 235 x 20

Teljes leírás

A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions.§The treatment is motivated by a desire to expose an elementary approach to nonsmooth calculus by using a set of matrices to replace the nonexistent Jacobian matrix of a continuous vector function. Such a set of matrices forms a new generalized Jacobian, called pseudo-Jacobian. A direct extension of the classical derivative that follows simple rules of calculus, the pseudo-Jacobian provides an axiomatic approach to nonsmooth calculus, a flexible tool for handling nonsmooth continuous optimization problems.§Illustrated by numerous examples of known generalized derivatives, the work may serve as a valuable reference for graduate students, researchers, and applied mathematicians who wish to use nonsmooth techniques and continuous optimization to model and solve problems in mathematical programming, operations research, and engineering. Readers require only a modest background in undergraduate mathematical analysis to follow the material with minimal effort.

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Nonsmooth Vector Functions and Continuous Optimization

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