Polynomial Functional Dynamical Systems, Luo Albert C. J.

Автор: N.Z. Shor
Название: Nondifferentiable Optimization and Polynomial Problems
ISBN: 0792349970 ISBN-13(EAN): 9780792349976
Издательство: Springer
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Цена: 27245.00 р.
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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: Di Vincenzo Onofrio Mario, Giambruno Antonio
Название: Polynomial Identities in Algebras
ISBN: 3030631109 ISBN-13(EAN): 9783030631109
Издательство: Springer
Цена: 23757.00 р.
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Описание: This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems.

Автор: Teo Mora
Название: Solving Polynomial Equation Systems I
ISBN: 0521811546 ISBN-13(EAN): 9780521811545
Издательство: Cambridge Academ
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Цена: 27562.00 р.
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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)
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Цена: 7399.00 р.
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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
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Цена: 27403.00 р.
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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: Kaarli, Kalle , Pixley, Alden F.
Название: Polynomial Completeness in Algebraic Systems
ISBN: 0367398338 ISBN-13(EAN): 9780367398330
Издательство: Taylor&Francis
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Цена: 9798.00 р.
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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: 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
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Цена: 16769.00 р.
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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: Bates
Название: Numerically Solving Polynomial Systems with Bertini
ISBN: 1611972698 ISBN-13(EAN): 9781611972696
Издательство: Mare Nostrum (Eurospan)
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Цена: 15107.00 р.
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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: Saat, Mohd Shakir Md (associate Professor And Deputy Dean (academic), Universiti Teknikal Malaysia Melaka, Malaysia) Nguang, Sing Kiong (professor, Un
Название: Analysis and synthesis of polynomial discrete-time systems
ISBN: 0081019017 ISBN-13(EAN): 9780081019016
Издательство: Elsevier Science
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Цена: 17685.00 р.
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Описание: Analysis and Synthesis of Polynomial Discrete-time Systems: An SOS Approach addresses the analysis and design of polynomial discrete-time control systems. The book deals with the application of Sum of Squares techniques in solving specific control and filtering problems that can be useful to solve advanced control problems, both on the theoretical side and on the practical side. Two types of controllers, state feedback controller and output feedback controller, along with topics surrounding the nonlinear filter and the H-infinity performance criteria are explored. The book also proposes a solution to global stabilization of discrete-time systems.

Автор: Mora
Название: Solving Polynomial Equation Systems III
ISBN: 0521811554 ISBN-13(EAN): 9780521811552
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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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: Di Vincenzo Onofrio Mario, Giambruno Antonio
Название: Polynomial Identities in Algebras
ISBN: 3030631133 ISBN-13(EAN): 9783030631130
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems.

Автор: Cancellieri, Giovanni
Название: Polynomial Theory of Error Correcting Codes
ISBN: 3319017268 ISBN-13(EAN): 9783319017266
Издательство: Springer
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Цена: 26122.00 р.
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Описание: Numerous examples and indexed definitions make this detailed guide to polynomial theory in error-correcting codes a highly accessible resource. New codes and a unitary approach to block and convolutional codes will enhance readers` understanding of the topic.