Nonsmooth Vector Functions and Continuous Optimization: 10 - Brossura

Jeyakumar, V.; Luc, Dinh The

 
9781441944726: Nonsmooth Vector Functions and Continuous Optimization: 10
Brossura
ISBN 10: 1441944729 ISBN 13: 9781441944726
Casa editrice: Springer, 2010

Sinossi

A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth 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. No other recent monograph in nonsmooth analysis is devoted to vector-valued maps, a growing area of research. Illustrated by numerous examples of known generalized derivatives, the work serves 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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
1441944729
ISBN 13 
9781441944726
Rilegatura
Copertina flessibile
Numero di pagine
280
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9780387737164: Nonsmooth Vector Functions and Continuous Optimization: 10

Edizione in evidenza

ISBN 10:  0387737162 ISBN 13:  9780387737164
Casa editrice: Springer, 2007
Rilegato