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: 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: Bates Название: Numerically Solving Polynomial Systems with Bertini ISBN: 1611972698 ISBN-13(EAN): 9781611972696 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15107.00 р. Наличие на складе: Нет в наличии.
Описание: This book is a guide to concepts and practice in numerical algebraic geometry - the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files.Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations.Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.
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: Kaarli, Kalle , Pixley, Alden F. Название: Polynomial Completeness in Algebraic Systems ISBN: 0367398338 ISBN-13(EAN): 9780367398330 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Boolean algebras have historically played a special role in the development of the theory of general or universal algebraic systems, providing important links between algebra and analysis, set theory, mathematical logic, and computer science. It is not surprising then that focusing on specific properties of Boolean algebras has lead to new directions in universal algebra.
In the first unified study of polynomial completeness, Polynomial Completeness in Algebraic Systems focuses on and systematically extends another specific property of Boolean algebras: the property of affine completeness. The authors present full proof that all affine complete varieties are congruence distributive and that they are finitely generated if and only if they can be presented using only a finite number of basic operations. In addition to these important findings, the authors describe the different relationships between the properties of lattices of equivalence relations and the systems of functions compatible with them. An introductory chapter surveys the appropriate background material, exercises in each chapter allow readers to test their understanding, and open problems offer new research possibilities. Thus Polynomial Completeness in Algebraic Systems constitutes an accessible, coherent presentation of this rich topic valuable to both researchers and graduate students in general algebraic systems.
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: 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: Franz Winkler Название: Polynomial Algorithms in Computer Algebra ISBN: 3211827595 ISBN-13(EAN): 9783211827598 Издательство: Springer Рейтинг: Цена: 13549.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction to the mathematical underpinnings of computer algebra. This book treats subjects that range from arithmetic of integers and polynomials to fast factorization methods, Grobner bases, and algorithms in algebraic geometry. It is suitable for both mathematics and computer science students.
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: 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.
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.
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.
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