Polynomial Completeness in Algebraic Systems, Kaarli, Kalle , Pixley, Alden F.
Автор: Peter B?rgisser Название: Completeness and Reduction in Algebraic Complexity Theory ISBN: 3642086047 ISBN-13(EAN): 9783642086045 Издательство: Springer Рейтинг: Цена: 18860.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a thorough and comprehensive treatment of the theory of NP-completeness in the framework of algebraic complexity theory. Coverage includes Valiant`s algebraic theory of NP-completeness; interrelations with the classical theory as well as the Blum-Shub-Smale model of computation, questions of structural complexity;
Автор: Teo Mora Название: Solving Polynomial Equation Systems I ISBN: 0521811546 ISBN-13(EAN): 9780521811545 Издательство: Cambridge Academ Рейтинг: Цена: 27562.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.
Автор: David A. Cox Название: Applications of Polynomial Systems ISBN: 1470451379 ISBN-13(EAN): 9781470451370 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 7399.00 р. Наличие на складе: Нет в наличии.
Описание: Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert.Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bezier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century.The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.
Автор: Mora Название: Solving Polynomial Equation Systems IV ISBN: 1107109639 ISBN-13(EAN): 9781107109636 Издательство: Cambridge Academ Рейтинг: Цена: 27403.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this fourth and final volume the author covers extensions of Buchberger`s Algorithm, including a discussion of the most promising recent alternatives to Groebner bases: Gerdt`s involutive bases and Faugere`s F4 and F5 algorithms. This completes the author`s comprehensive treatise, which is a fundamental reference for any mathematical library.
Автор: Graziano Chesi; Andrea Garulli; Alberto Tesi; Anto Название: Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems ISBN: 1848827806 ISBN-13(EAN): 9781848827806 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a number of techniques for robustness analysis of uncertain systems. In it, convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogenous polynomial forms.
Автор: N.Z. Shor Название: Nondifferentiable Optimization and Polynomial Problems ISBN: 0792349970 ISBN-13(EAN): 9780792349976 Издательство: Springer Рейтинг: Цена: 27245.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work is devoted to an investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It demonstrates methods of nondifferentiable optimization that can be used for finding solutions to many polynomial problems.
Автор: Miguel F. Anjos; Jean B. Lasserre Название: Handbook on Semidefinite, Conic and Polynomial Optimization ISBN: 1489978038 ISBN-13(EAN): 9781489978035 Издательство: Springer Рейтинг: Цена: 33401.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers the reader a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization and polynomial optimization. It covers theory, algorithms, software and applications.
Автор: Alicia Dickenstein; Ioannis Z. Emiris Название: Solving Polynomial Equations ISBN: 3642063616 ISBN-13(EAN): 9783642063619 Издательство: Springer Рейтинг: Цена: 12571.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Kanel-Belov, Alexei , Rowen, Louis Halle Название: Computational Aspects of Polynomial Identities ISBN: 0367446502 ISBN-13(EAN): 9780367446505 Издательство: Taylor&Francis Рейтинг: Цена: 9492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces polynomial identity (PI)-algebras and reviews some well-known results and techniques, most of which are associated with the structure theory. It presents a full proof of Kemer`s solution to Specht`s conjecture.
Описание: The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. This book is suitable for mathematicians, engineers, physicists and computer scientists who are interested in developments and applications in the subject, as well as those with graduate level mathematical background.
Автор: Mora Название: Solving Polynomial Equation Systems III ISBN: 0521811554 ISBN-13(EAN): 9780521811552 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This third volume of four describes all the most important techniques, mainly based on Groebner bases. It covers the `standard` solutions (Gianni-Kalkbrener, Auzinger-Stetter, Cardinal-Mourrain) as well as the more innovative (Lazard-Rouillier, Giusti-Heintz-Pardo). The author also explores the historical background, from Bezout to Macaulay.
Автор: Smith, Larry Название: Polynomial Invariants of Finite Groups ISBN: 0367449137 ISBN-13(EAN): 9780367449131 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a book about the invariant theory of finite groups, written by an algebraic topologist. It illustrates the theorems by applying them to concrete cases, and examines several basic ideas and problems of invariant theory in the context of some elementary examples.
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