Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (15 chapters)
-
Front Matter
-
Foundations
-
Front Matter
-
-
Lessons from One Dimension
-
Front Matter
-
-
Choosing the Right Diagonal Scale
-
Front Matter
-
-
Linear Programming Post-Karmarkar
-
Front Matter
-
-
Algorithmic Science
-
Front Matter
-
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Differentiable Optimization and Equation Solving
Book Subtitle: A Treatise on Algorithmic Science and the Karmarkar Revolution
Authors: John Lawrence Nazareth
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/b97521
Publisher: Springer New York, NY
-
eBook Packages: Springer Book Archive
Copyright Information: John Lawrence Nazareth 2003
Hardcover ISBN: 978-0-387-95572-8Published: 05 March 2003
Softcover ISBN: 978-1-4419-3061-3Published: 08 October 2011
eBook ISBN: 978-0-387-21788-8Published: 17 May 2006
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XVII, 256
Number of Illustrations: 2 b/w illustrations
Topics: Computational Mathematics and Numerical Analysis, Mathematical Modeling and Industrial Mathematics, Operations Research, Management Science, Algorithms, Optimization