CMS Books in Mathematics

Differentiable Optimization and Equation Solving

A Treatise on Algorithmic Science and the Karmarkar Revolution

Authors: Nazareth, John

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eBook $119.00
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  • ISBN 978-0-387-21788-8
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Hardcover $159.00
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  • ISBN 978-0-387-95572-8
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Softcover $159.00
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  • ISBN 978-1-4419-3061-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of the resulting, dramatic reorganization that has occurred in one of these areas: algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. The book is aimed at readers familiar with advanced calculus, numerical analysis, in particular numerical linear algebra, the theory and algorithms of linear and nonlinear programming, and the fundamentals of computer science, in particular, computer programming and the basic models of computation and complexity theory.

"Very fine monograph...filled with great insights."

-Joseph F. Traub, Columbia University

Reviews

From the reviews:

...beautifully done, well organized, and a valuable reference book on the subject.

- George Dantzig, Stanford University

Nazareth has written an excellent book that includes both introductory and advanced topics. It provides a description of many of the techniques in this area. In addition, the book is sprinkled with beautiful analogies and insights. These insights make this book an interesting read and a learning experience for both the novice and the expert.

- Henry Wolkowicz, Notes of the Canadian Mathematical Society

“This monograph brings together research that was published by the author in several journal papers. It tells an intriguing story of the mechanism that unifies and differentiates between the multitude of algorithms that were developed in the pre and post Karmarkar period. The reader is supposed to be familiar with advanced calculus, numerical analysis, and computer science. … it is aiming at researchers and advanced students. The text is written with the greatest care, a scholar example op clear mathematical writing.” (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, 2007)


Table of contents (15 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-0-387-21788-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-387-95572-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4419-3061-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Differentiable Optimization and Equation Solving
Book Subtitle
A Treatise on Algorithmic Science and the Karmarkar Revolution
Authors
Series Title
CMS Books in Mathematics
Copyright
2003
Publisher
Springer-Verlag New York
Copyright Holder
John Lawrence Nazareth
eBook ISBN
978-0-387-21788-8
DOI
10.1007/b97521
Hardcover ISBN
978-0-387-95572-8
Softcover ISBN
978-1-4419-3061-3
Series ISSN
1613-5237
Edition Number
1
Number of Pages
XVII, 256
Number of Illustrations and Tables
2 b/w illustrations
Topics