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portada Basics of Optimization Theory
Type
Physical Book
Publisher
Author
Year
2023
Language
English
Pages
152
Format
Paperback
Dimensions
24.4x17x0.8 cm
ISBN13
9783031292200

Basics of Optimization Theory

Arthur David Snider (Author) · Springer · Paperback

Basics of Optimization Theory - Arthur David Snider

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Synopsis "Basics of Optimization Theory"

This book presents a short introduction to the main tools of optimization methodology including linear programming, steepest descent, conjugate gradients, and the Karush-Kuhn-Tucker-John conditions. Each topic is developed in terms of a specific physical model, so that the strategy behind every step is motivated by a logical, concrete, easily visualized objective. A quick perusal of the Fibonacci search algorithm provides a simple and tantalizing first encounter with optimization theory, and a review of the max-min exposition of one-dimensional calculus prepares readers for the more sophisticated topics found later in the book. Notable features are the innovative perspectives on the simplex algorithm and Karush-Kuhn-Tucker-John conditions as well as a wealth of helpful diagrams. The author provides pointers to references for readers who would like to learn more about rigorous definitions, proofs, elegant reformulations and extensions, and case studies. However, the book is sufficiently self-contained to serve as a reliable resource for readers who wish to exploit commercially available optimization software without investing the time to develop expertise in its aspects.
This book also:Features innovative perspectives on the simplex algorithm and Krushal-Kuhn-Tucker-John conditionsServes as a resource for readers to use the tools of optimization without needing to acquire expertise in the theoryFeatures  plentiful resources that focus on rigorous definitions, proofs, and case studies

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