Differentiable Optimization and Equation Solving: A Treatise on Algorithmic Science and the Karmarkar Revolution [Hardcover]

John L. Nazareth (Author)

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Product Details

Hardcover: 273 pages
Publisher: Springer; 1 edition (Mar 5 2003)
Language: English
ISBN-10: 0387955720
ISBN-13: 978-0387955728
Product Dimensions: 2.4 x 1.5 x 0.2 cm
Shipping Weight: 363 g
Amazon Bestsellers Rank: #2,355,556 in Books (See Top 100 in Books)

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Product Description

Review

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)

Book Description

An overview of the dramatic reorganization in reaction to N. Karmakar’s seminal 1984 paper on algorithmic linear programming in the area of algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. Aimed at readers familiar with advanced calculus and numerical analysis.

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First Sentence
Optimization problems seek points that maximize or minimize stated objective functions over feasible regions that are defined herein by given sets of equality and inequality constraints. Read the first page