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Quantifier Elimination and Cylindrical Algebraic Decomposition, Bob F. Caviness; Jeremy R. Johnson


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Автор: Bob F. Caviness; Jeremy R. Johnson
Название:  Quantifier Elimination and Cylindrical Algebraic Decomposition
ISBN: 9783211827949
Издательство: Springer
Классификация:


ISBN-10: 3211827943
Обложка/Формат: Paperback
Страницы: 431
Вес: 0.72 кг.
Дата издания: 16.04.1998
Серия: Texts & Monographs in Symbolic Computation
Язык: English
Размер: 244 x 170 x 23
Основная тема: Computer Science
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: A collection of major papers on CAD and QE and on the related area of algorthmic aspects of real geometry. The work contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area, outlining Tarski`s paper, as well as a survey outlining the developments in CAD.


Categorical Decomposition Techniques in Algebraic Topology

Автор: Gregory Arone; John Hubbuck; Ran Levi; Michael Wei
Название: Categorical Decomposition Techniques in Algebraic Topology
ISBN: 3034896018 ISBN-13(EAN): 9783034896016
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book consists of articles at the frontier of current research in Algebraic Topology.

The Proper Generalized Decomposition for Advanced Numerical Simulations

Автор: Francisco Chinesta; Roland Keunings; Adrien Leygue
Название: The Proper Generalized Decomposition for Advanced Numerical Simulations
ISBN: 3319028642 ISBN-13(EAN): 9783319028644
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters.The PGD has now attracted the attention of a large number of research groups worldwide.

Decomposition Techniques in Mathematical Programming

Автор: Antonio J. Conejo; Enrique Castillo; Roberto Mingu
Название: Decomposition Techniques in Mathematical Programming
ISBN: 3642066070 ISBN-13(EAN): 9783642066078
Издательство: Springer
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Цена: 22201.00 р.
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Описание: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering, OperationsResearch, andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.


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