Nonsmooth Vector Functions and Continuous Optimization

Name: Nonsmooth Vector Functions and Continuous Optimization
Brand: Springer-Verlag New York Inc.
SKU: 9780387737164
Price: 424.83 PLN
Availability: InStock

Autor: Vaithilingam Jeyakumar, D. Luc

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag New York Inc.

Dostępność: Dostępna u dostawcy

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

Informacje o książce

Autor

Vaithilingam Jeyakumar, D. Luc

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2007

strony

270

EAN

9780387737164

ISBN

0387737162

Enbook ID

01382680

Wydawca

Springer-Verlag New York Inc.

Waga

588

Wymiary

155 x 235 x 20

Pełny opis

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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