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Applications of Interval Computations, R. Baker Kearfott; V. Kreinovich


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Автор: R. Baker Kearfott; V. Kreinovich
Название:  Applications of Interval Computations
ISBN: 9780792338475
Издательство: Springer
Классификация:


ISBN-10: 0792338472
Обложка/Формат: Hardcover
Страницы: 428
Вес: 0.99 кг.
Дата издания: 31.01.1996
Серия: Applied Optimization
Язык: English
Размер: 254 x 178 x 25
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This text contains primarily survey articles of actual industrial applications of numerical analysis with automatic result verification and of interval representation of data. Underlying topics include branch and bound algorithms for global optimization, and constraint propagation.


Inverse Problems and Large-Scale Computations

Автор: Larisa Beilina; Yury V. Shestopalov
Название: Inverse Problems and Large-Scale Computations
ISBN: 3319345125 ISBN-13(EAN): 9783319345123
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012.

Parallelism in Matrix Computations

Автор: Efstratios Gallopoulos; Bernard Philippe; Ahmed H.
Название: Parallelism in Matrix Computations
ISBN: 9402403175 ISBN-13(EAN): 9789402403176
Издательство: Springer
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Цена: 13059.00 р.
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Описание:

This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations.

It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms.

The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded, Vandermonde, Toeplitz, and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike.

The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.

Systolic Computations

Автор: M.A. Frumkin
Название: Systolic Computations
ISBN: 0792317084 ISBN-13(EAN): 9780792317081
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This monograph covers a method of parallel computing which uses VLSI technology in an efficient manner: data are fed to the cells of a systolic processor and results are obtained instantly. Some theoretical and algorithmic questions which arise in the design of hardware and software are considered.

Time-Varying Systems and Computations

Автор: Patrick DeWilde; Alle-Jan van der Veen
Название: Time-Varying Systems and Computations
ISBN: 1441950451 ISBN-13(EAN): 9781441950451
Издательство: Springer
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Цена: 27245.00 р.
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Описание: Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari- able s or z and it is analytic in a large part of the complex plane. Many important prop- erties of the system for which it is a transfer function are related to its analytic prop- erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi- e. g., as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi- mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Автор: Michele Benzi; Dario Bini; Daniel Kressner; Hans M
Название: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
ISBN: 331949886X ISBN-13(EAN): 9783319498867
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Focusing on special matrices and matrices which are in some sense `near` to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra.

Numerical methods for stochastic computations

Автор: Xiu, Dongbin
Название: Numerical methods for stochastic computations
ISBN: 0691142122 ISBN-13(EAN): 9780691142128
Издательство: Wiley
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Цена: 9504.00 р.
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Описание: Focusing on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). It illustrates through examples Basic gPC methods, and includes polynomial approximation theory and probability theory.

Markov Chains - Analytic and Monte Carlo Computations

Автор: Graham
Название: Markov Chains - Analytic and Monte Carlo Computations
ISBN: 1118517075 ISBN-13(EAN): 9781118517079
Издательство: Wiley
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Цена: 13456.00 р.
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Описание: Markov Chains: Analytic and Monte Carlo Computations introduces the main notions related to Markov chains and provides explanations on how to characterize, simulate, and recognize them.

Free Energy Computations: A Mathematical Perspective

Автор: Lelievre Tony Et Al
Название: Free Energy Computations: A Mathematical Perspective
ISBN: 1848162472 ISBN-13(EAN): 9781848162471
Издательство: World Scientific Publishing
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Цена: 23760.00 р.
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Описание: Presents an introduction to advanced computational methods for free energy calculations. This book is suitable for practitioners interested in a mathematical treatment, and for applied mathematicians interested in molecular dynamics.

Numerical methods in matrix computations

Автор: Bjorck, Ake
Название: Numerical methods in matrix computations
ISBN: 3319050885 ISBN-13(EAN): 9783319050881
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Numerical Methods in Matrix Computations

Numerical Methods in Matrix Computations

Автор: ?ke Bj?rck
Название: Numerical Methods in Matrix Computations
ISBN: 3319356143 ISBN-13(EAN): 9783319356143
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems.

Computations with Markov Chains

Автор: William J. Stewart
Название: Computations with Markov Chains
ISBN: 0792395506 ISBN-13(EAN): 9780792395508
Издательство: Springer
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Цена: 32004.00 р.
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Описание: Presents the edited and reviewed proceedings of the Second International Workshop on the Numerical Solution of Markov Chains, held January 16-18, 1995, in Raleigh, North Carolina. This title offers an overview of the field for applied probabilists, numerical analysts and systems modelers, including computer scientists and engineers.


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