Lecture Notes in Mathematics

Well-Posed Optimization Problems

Authors: Dontchev, Asen L., Zolezzi, Tullio

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About this book

This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-540-47644-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.00
price for USA in USD
  • ISBN 978-3-540-56737-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Well-Posed Optimization Problems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1543
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47644-3
DOI
10.1007/BFb0084195
Softcover ISBN
978-3-540-56737-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 424
Topics