Differentiable Optimization and Equation Solving
A Treatise on Algorithmic Science and the Karmarkar Revolution
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Differentiable Optimization and Equation Solving “
The Karmarkar Revolution The Newton-Cauchy Method Euler-Newton and Lagrange-NC Methods A Misleading Paradigm CG and the Line Search Gilding the Nelder-Mead Lily Historic Parallels LP from the Newton-Cauchy Perspective Diagonal Metrics and the QC Method LP from the Euler-Newton Perspective Log-Barrier Transformations Karmarkar Potentials and Algorithms Algorithmic Principles Multialgorithms: A New Paradigm An Emerging Discipline Bibliography Index
Bibliographische Angaben
- Autor: John L. Nazareth
- 2003, 256 Seiten, Maße: 15,9 x 24,3 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387955720
- ISBN-13: 9780387955728
- Erscheinungsdatum: 05.03.2003
Sprache:
Englisch
Rezension zu „Differentiable Optimization and Equation Solving “
...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
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