Computer Algorithms for Solving Linear Algebraic Equations

Computer Algorithms for Solving Linear Algebraic Equations

Author: Emilio Spedicato

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 361

ISBN-13: 3642767176

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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.


Massively Parallel Processing Applications and Development

Massively Parallel Processing Applications and Development

Author: L. Dekker

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 996

ISBN-13: 1483290433

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The contributions of a diverse selection of international hardware and software specialists are assimilated in this book's exploration of the development of massively parallel processing (MPP). The emphasis is placed on industrial applications and collaboration with users and suppliers from within the industrial community consolidates the scope of the publication. From a practical point of view, massively parallel data processing is a vital step to further innovation in all areas where large amounts of data must be processed in parallel or in a distributed manner, e.g. fluid dynamics, meteorology, seismics, molecular engineering, image processing, parallel data base processing. MPP technology can make the speed of computation higher and substantially reduce the computational costs. However, to achieve these features, the MPP software has to be developed further to create user-friendly programming systems and to become transparent for present-day computer software. Application of novel electro-optic components and devices is continuing and will be a key for much more general and powerful architectures. Vanishing of communication hardware limitations will result in the elimination of programming bottlenecks in parallel data processing. Standardization of the functional characteristics of a programming model of massively parallel computers will become established. Then efficient programming environments can be developed. The result will be a widespread use of massively parallel processing systems in many areas of application.


Lectures in Parallel Computation

Lectures in Parallel Computation

Author: Alan Gibbons

Publisher: Cambridge University Press

Published: 1993-03-18

Total Pages: 452

ISBN-13: 9780521415569

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The foundations of parallel computation, especially the efficiency of computation, are the concern of this book. Distinguished international researchers have contributed fifteen chapters which together form a coherent stream taking the reader who has little prior knowledge of the field to a position of being familiar with leading edge issues. The book may also function as a source of teaching material and reference for researchers. The first part is devoted to the Parallel Random Access Machine (P-RAM) model of parallel computation. The initial chapters justify and define the model, which is then used for the development of algorithm design in a variety of application areas such as deterministic algorithms, randomisation and algorithm resilience. The second part deals with distributed memory models of computation. The question of efficiently implementing P-RAM algorithms within these models is addressed as are the immensely interesting prospects for general purpose parallel computation.


Parallel Numerical Algorithms

Parallel Numerical Algorithms

Author: David E. Keyes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 403

ISBN-13: 9401154120

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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.


Matrix Computations

Matrix Computations

Author: Gene H. Golub

Publisher: JHU Press

Published: 2013-02-15

Total Pages: 781

ISBN-13: 1421407949

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This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.


Parallel Algorithms

Parallel Algorithms

Author: Henri Casanova

Publisher: CRC Press

Published: 2008-07-17

Total Pages: 360

ISBN-13: 1584889462

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Focusing on algorithms for distributed-memory parallel architectures, Parallel Algorithms presents a rigorous yet accessible treatment of theoretical models of parallel computation, parallel algorithm design for homogeneous and heterogeneous platforms, complexity and performance analysis, and essential notions of scheduling. The book extract


Parallel Algorithms For Knapsack Type Problems

Parallel Algorithms For Knapsack Type Problems

Author: Vassil N Aleksandrov

Publisher: World Scientific

Published: 1999-06-01

Total Pages: 215

ISBN-13: 9814500992

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This book brings together current research direction in the mapping of dynamic programming recurrence equations for Knapsack Type problems, which include Unbounded Knapsack Problem, 0/1 Knapsack Problem, Subset Sum Problem, Change Making Problem, onto so-called regular parallel architectures. In particular, it focuses on heuristic and more formal techniques for mapping. The text is based on substantially revised papers published by the authors and their colleagues in the literature but re-written to provide an overall view of the subject area.