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Parallel Algorithms for Numerical Linear Algebra

2014-06-28 Computers
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Release : 2014-06-28
Genre : Computers
Kind : eBook
Book Rating : 737/5 ( reviews)

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Book Synopsis Parallel Algorithms for Numerical Linear Algebra by : H. van der Vorst

Download or read book Parallel Algorithms for Numerical Linear Algebra written by H. van der Vorst. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: 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

1990-01-01 Mathematics
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Release : 1990-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 705/5 ( reviews)

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Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan

Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan. This book was released on 1990-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.

Parallel Numerical Linear Algebra

2001 Computers
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Release : 2001
Genre : Computers
Kind : eBook
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Book Synopsis Parallel Numerical Linear Algebra by : J. J. Dongarra

Download or read book Parallel Numerical Linear Algebra written by J. J. Dongarra. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A Java-Based Distributed Debugger Supporting MPI and PVM; On Encoding Neural Networks to Estimate the Atmospheric Point Spread Function in a Parallel Environment; A Comparison of Parallel Solvers for Diagonally Dominant and General Narrow-Banded Linear Systems; Mapping Strategies in Data Parallel Programming Models; the Projection Methods; Parallel Multiplication of a Vector by a Kronecker Product of Matrices; Parallel Sparse Matrix Algorithms for Air Pollution Models; Band Preconditioners -- Application to Preconditioned Conjugate Gradient Methods on Parallel Computers.

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 364/5 ( reviews)

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Book Synopsis Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms by : Gene H. Golub

Download or read book Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms written by Gene H. Golub. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Parallel Algorithms for Linear Models

2012-12-06 Business & Economics
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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 714/5 ( reviews)

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Book Synopsis Parallel Algorithms for Linear Models by : Erricos Kontoghiorghes

Download or read book Parallel Algorithms for Linear Models written by Erricos Kontoghiorghes. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Parallel Algorithms for Linear Models provides a complete and detailed account of the design, analysis and implementation of parallel algorithms for solving large-scale linear models. It investigates and presents efficient, numerically stable algorithms for computing the least-squares estimators and other quantities of interest on massively parallel systems. The monograph is in two parts. The first part consists of four chapters and deals with the computational aspects for solving linear models that have applicability in diverse areas. The remaining two chapters form the second part, which concentrates on numerical and computational methods for solving various problems associated with seemingly unrelated regression equations (SURE) and simultaneous equations models. The practical issues of the parallel algorithms and the theoretical aspects of the numerical methods will be of interest to a broad range of researchers working in the areas of numerical and computational methods in statistics and econometrics, parallel numerical algorithms, parallel computing and numerical linear algebra. The aim of this monograph is to promote research in the interface of econometrics, computational statistics, numerical linear algebra and parallelism.

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