Polynomial Operator Equations in Abstract Spaces and Applications, Argyros, Ioannis K.
Автор: Peter Borwein; Tamas Erdelyi Название: Polynomials and Polynomial Inequalities ISBN: 1461269024 ISBN-13(EAN): 9781461269021 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Muntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book.
Автор: David A. Cox Название: Applications of Polynomial Systems ISBN: 1470451379 ISBN-13(EAN): 9781470451370 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 49330.00 T 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: Dhananjay Singh; Madhusudan Singh; Zaynidinov Haki Название: Signal Processing Applications Using Multidimensional Polynomial Splines ISBN: 9811322384 ISBN-13(EAN): 9789811322389 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book highlights new methods, algorithms and software for the digital processing and recovery of signals. In addition, it describes a new method for modeling one dimensional and multidimensional signals as successions of local polynomial splines and their spectral characteristics. It provides examples of how the proposed methods can be applied in specific cases, together with signal processing software examples in the MATLAB environment, and models of special processes in the Simulink environment. The book’s goal is to make it easier for beginners to understand the subject matter; it is intended for engineers, undergraduate and graduate students engaged in research or the evaluation and design of hardware and software for the digital processing and recovery of signals.
Автор: Mass Per Pettersson; Gianluca Iaccarino; Jan Nords Название: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations ISBN: 3319107135 ISBN-13(EAN): 9783319107134 Издательство: Springer Рейтинг: Цена: 104480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Polynomial Chaos Methods for Hyperbolic Partial Differential Equations
Автор: Alicia Dickenstein; Ioannis Z. Emiris Название: Solving Polynomial Equations ISBN: 3642063616 ISBN-13(EAN): 9783642063619 Издательство: Springer Рейтинг: Цена: 83810.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Daniele Funaro Название: Polynomial Approximation of Differential Equations ISBN: 3662138786 ISBN-13(EAN): 9783662138786 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Lasserre Jean Bernard Название: Moments, Positive Polynomials And Their Applications ISBN: 1911299735 ISBN-13(EAN): 9781911299738 Издательство: World Scientific Publishing Цена: 64410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Many important applications in global optimization, algebra, probability and statistics, applied mathematics, control theory, financial mathematics, inverse problems, etc. can be modeled as a particular instance of the Generalized Moment Problem (GMP).
This book introduces a new general methodology to solve the GMP when its data are polynomials and basic semi-algebraic sets. This methodology combines semidefinite programming with recent results from real algebraic geometry to provide a hierarchy of semidefinite relaxations converging to the desired optimal value. Applied on appropriate cones, standard duality in convex optimization nicely expresses the duality between moments and positive polynomials.
In the second part, the methodology is particularized and described in detail for various applications, including global optimization, probability, optimal control, mathematical finance, multivariate integration, etc., and examples are provided for each particular application.
Автор: Lasserre Название: An Introduction to Polynomial and Semi-Algebraic Optimization ISBN: 110763069X ISBN-13(EAN): 9781107630697 Издательство: Cambridge Academ Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.
Автор: A. S. Markus Название: Introduction to the Spectral Theory of Polynomial Operator Pencils ISBN: 0821890824 ISBN-13(EAN): 9780821890820 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 88710.00 T Наличие на складе: Невозможна поставка. Описание: Contains an exposition of the foundations of the spectral theory of polynomial operator pencils acting in a Hilbert space. The author devotes most of his attention to the fundamental results of Keldysh on multiple completeness of the eigenvectors and associate vectors of a pencil, and on the asymptotic behavior of its eigenvalues and generalizations of these results.
Автор: E.D. Sontag Название: Polynomial Response Maps ISBN: 3540093931 ISBN-13(EAN): 9783540093930 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gobel, Susanne Название: Polynomial translation of mobile ambients into safe petri nets ISBN: 3658117648 ISBN-13(EAN): 9783658117641 Издательство: Springer Рейтинг: Цена: 60940.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The master thesis of Susanne Gobel generates the deep understanding of the Mobile Ambient (MA) calculus that is necessary to use it as a modeling language. It extends to arbitrary MA processes but finiteness of the net and therefore decidability of reachability is only guaranteed for bounded processes.
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