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Basics of Optimization Theory

Af: Arthur David Snider Engelsk Hardback

Basics of Optimization Theory

Af: Arthur David Snider Engelsk Hardback
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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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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
Produktdetaljer
Sprog: Engelsk
Sider: 143
ISBN-13: 9783031292187
Indbinding: Hardback
Udgave:
ISBN-10: 3031292189
Kategori: Numerisk analyse
Udg. Dato: 11 aug 2023
Længde: 0mm
Bredde: 168mm
Højde: 240mm
Forlag: Springer International Publishing AG
Oplagsdato: 11 aug 2023
Forfatter(e): Arthur David Snider
Forfatter(e) Arthur David Snider


Kategori Numerisk analyse


ISBN-13 9783031292187


Sprog Engelsk


Indbinding Hardback


Sider 143


Udgave


Længde 0mm


Bredde 168mm


Højde 240mm


Udg. Dato 11 aug 2023


Oplagsdato 11 aug 2023


Forlag Springer International Publishing AG

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