Parallel Algorithms for Numerical Linear Algebra

Parallel Algorithms for Numerical Linear Algebra PDF Author: H. van der Vorst
Publisher: Elsevier
ISBN: 1483295737
Category : Computers
Languages : en
Pages : 341

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Book Description
This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.All aspects of high-speed computing fall within the scope of the series, e.g. algorithm design, applications, software engineering, networking, taxonomy, models and architectural trends, performance, peripheral devices.Papers in Volume One cover the main streams of parallel linear algebra: systolic array algorithms, message-passing systems, algorithms for parallel shared-memory systems, and the design of fast algorithms and implementations for vector supercomputers.

Parallel Algorithms for Numerical Linear Algebra

Parallel Algorithms for Numerical Linear Algebra PDF Author: H. van der Vorst
Publisher: Elsevier
ISBN: 1483295737
Category : Computers
Languages : en
Pages : 341

Get Book Here

Book Description
This is the first in a new series of books presenting research results and developments concerning the theory and applications of parallel computers, including vector, pipeline, array, fifth/future generation computers, and neural computers.All aspects of high-speed computing fall within the scope of the series, e.g. algorithm design, applications, software engineering, networking, taxonomy, models and architectural trends, performance, peripheral devices.Papers in Volume One cover the main streams of parallel linear algebra: systolic array algorithms, message-passing systems, algorithms for parallel shared-memory systems, and the design of fast algorithms and implementations for vector supercomputers.

Parallel Algorithms for Matrix Computations

Parallel Algorithms for Matrix Computations PDF Author: K. Gallivan
Publisher: SIAM
ISBN: 0898712602
Category : Mathematics
Languages : en
Pages : 204

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Book Description
Mathematics of Computing -- Parallelism.

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms PDF Author: Gene H. Golub
Publisher: Springer Science & Business Media
ISBN: 3642755364
Category : Computers
Languages : en
Pages : 717

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Book Description
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.

Vector and Parallel Processing - VECPAR 2000

Vector and Parallel Processing - VECPAR 2000 PDF Author: Jose M.L.M. Palma
Publisher: Springer Science & Business Media
ISBN: 3540419993
Category : Computers
Languages : en
Pages : 589

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Vector and Parallel Processing, VECPAR 2000, held in Porto, Portugal, in June 2000. The 40 revised full papers presented were carefully selected and improved during two rounds of reviewing. The papers are orgainized in topical sections on computational grids - languages and tools in multiplatform environments, cellular automata and applications in computational physics, linear and non-linear algebra, imaging, and finite/discrete elements in engineering applications.

Parallel Numerical Algorithms

Parallel Numerical Algorithms PDF Author: David E. Keyes
Publisher: Springer Science & Business Media
ISBN: 9401154120
Category : Mathematics
Languages : en
Pages : 403

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Book Description
In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.

Applied Numerical Linear Algebra

Applied Numerical Linear Algebra PDF Author: James W. Demmel
Publisher: SIAM
ISBN: 1611971446
Category : Mathematics
Languages : en
Pages : 427

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Book Description
Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely-used LAPACK and ScaLAPACK linear algebra libraries, draws on this experience to present state-of-the-art techniques for these problems, including recommendations of which algorithms to use in a variety of practical situations. Algorithms are derived in a mathematically illuminating way, including condition numbers and error bounds. Direct and iterative algorithms, suitable for dense and sparse matrices, are discussed. Algorithm design for modern computer architectures, where moving data is often more expensive than arithmetic operations, is discussed in detail, using LAPACK as an illustration. There are many numerical examples throughout the text and in the problems at the ends of chapters, most of which are written in Matlab and are freely available on the Web. Demmel discusses several current research topics, making students aware of both the lively research taking place and connections to other parts of numerical analysis, mathematics, and computer science. Some of this material is developed in questions at the end of each chapter, which are marked Easy, Medium, or Hard according to their difficulty. Some questions are straightforward, supplying proofs of lemmas used in the text. Others are more difficult theoretical or computing problems. Questions involving significant amounts of programming are marked Programming. The computing questions mainly involve Matlab programming, and others involve retrieving, using, and perhaps modifying LAPACK code from NETLIB.

A Parallel Algorithm Synthesis Procedure for High-Performance Computer Architectures

A Parallel Algorithm Synthesis Procedure for High-Performance Computer Architectures PDF Author: Ian N. Dunn
Publisher: Springer Science & Business Media
ISBN: 1441986502
Category : Computers
Languages : en
Pages : 114

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Book Description
Despite five decades of research, parallel computing remains an exotic, frontier technology on the fringes of mainstream computing. Its much-heralded triumph over sequential computing has yet to materialize. This is in spite of the fact that the processing needs of many signal processing applications continue to eclipse the capabilities of sequential computing. The culprit is largely the software development environment. Fundamental shortcomings in the development environment of many parallel computer architectures thwart the adoption of parallel computing. Foremost, parallel computing has no unifying model to accurately predict the execution time of algorithms on parallel architectures. Cost and scarce programming resources prohibit deploying multiple algorithms and partitioning strategies in an attempt to find the fastest solution. As a consequence, algorithm design is largely an intuitive art form dominated by practitioners who specialize in a particular computer architecture. This, coupled with the fact that parallel computer architectures rarely last more than a couple of years, makes for a complex and challenging design environment. To navigate this environment, algorithm designers need a road map, a detailed procedure they can use to efficiently develop high performance, portable parallel algorithms. The focus of this book is to draw such a road map. The Parallel Algorithm Synthesis Procedure can be used to design reusable building blocks of adaptable, scalable software modules from which high performance signal processing applications can be constructed. The hallmark of the procedure is a semi-systematic process for introducing parameters to control the partitioning and scheduling of computation and communication. This facilitates the tailoring of software modules to exploit different configurations of multiple processors, multiple floating-point units, and hierarchical memories. To showcase the efficacy of this procedure, the book presents three case studies requiring various degrees of optimization for parallel execution.

Numerical Algorithms

Numerical Algorithms PDF Author: Justin Solomon
Publisher: CRC Press
ISBN: 1482251892
Category : Computers
Languages : en
Pages : 400

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Book Description
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Computer Algorithms for Solving Linear Algebraic Equations

Computer Algorithms for Solving Linear Algebraic Equations PDF Author: Emilio Spedicato
Publisher: Springer Science & Business Media
ISBN: 3642767176
Category : Computers
Languages : en
Pages : 361

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Book Description
The NATO Advanced Study Institute on "Computer algorithms for solving linear algebraic equations: the state of the art" was held September 9-21, 1990, at II Ciocco, Barga, Italy. It was attended by 68 students (among them many well known specialists in related fields!) from the following countries: Belgium, Brazil, Canada, Czechoslovakia, Denmark, France, Germany, Greece, Holland, Hungary, Italy, Portugal, Spain, Turkey, UK, USA, USSR, Yugoslavia. Solving linear equations is a fundamental task in most of computational mathematics. Linear systems which are now encountered in practice may be of very large dimension and their solution can still be a challenge in terms of the requirements of accuracy or reasonable computational time. With the advent of supercomputers with vector and parallel features, algorithms which were previously formulated in a framework of sequential operations often need a completely new formulation, and algorithms that were not recommended in a sequential framework may become the best choice. The aim of the ASI was to present the state of the art in this field. While not all important aspects could be covered (for instance there is no presentation of methods using interval arithmetic or symbolic computation), we believe that most important topics were considered, many of them by leading specialists who have contributed substantially to the developments in these fields.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1002

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Book Description