Springer Optimization and Its Applications

Nonsmooth Vector Functions and Continuous Optimization

Authors: Jeyakumar, V., Luc, Dinh The

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  • Based on major original contributions of the authors to the research area
  • No other recent monograph in nonsmooth analysis is devoted to vector-valued maps, a growing area of research
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eBook 107,09 €
price for Spain (gross)
  • ISBN 978-0-387-73717-1
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Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-0-387-73716-4
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  • Usually dispatched within 3 to 5 business days.
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Softcover 135,19 €
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  • ISBN 978-1-4419-4472-6
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-0-387-73717-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-0-387-73716-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-1-4419-4472-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Nonsmooth Vector Functions and Continuous Optimization
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
10
Copyright
2008
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-73717-1
DOI
10.1007/978-0-387-73717-1
Hardcover ISBN
978-0-387-73716-4
Softcover ISBN
978-1-4419-4472-6
Series ISSN
1931-6828
Edition Number
1
Number of Pages
X, 270
Topics