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Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms

Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms
Author: Gene H. Golub
Publisher: Springer Science & Business Media
Total Pages: 717
Release: 2012-12-06
Genre: Computers
ISBN: 3642755364

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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 Numerical Linear Algebra

Parallel Algorithms for Numerical Linear Algebra
Author: H. van der Vorst
Publisher: Elsevier
Total Pages: 341
Release: 2014-06-28
Genre: Computers
ISBN: 1483295737

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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 Numerical Linear Algebra

Parallel Numerical Linear Algebra
Author: J. J. Dongarra
Publisher: Nova Science Publishers
Total Pages: 142
Release: 2001
Genre: Computers
ISBN:

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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.


A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing
Author: Louis A. D'Alotto
Publisher: CRC Press
Total Pages: 312
Release: 1998-01-09
Genre: Technology & Engineering
ISBN: 9780824700256

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Aims to bridge the gap between parallel computer architectures and the creation of parallel digital signal processing (DSP) algorithms. This work offers an approach to digital signal processing utilizing the unified signal algebra environment to develop naturally occurring parallel DSP algorithms.;College or university book shops may order five or more copies at a special student price. Price is available on request.


Parallel Algorithms for Linear Models

Parallel Algorithms for Linear Models
Author: Erricos Kontoghiorghes
Publisher: Springer Science & Business Media
Total Pages: 196
Release: 2012-12-06
Genre: Business & Economics
ISBN: 1461545714

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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.


Parallel Algorithms for Linear Models

Parallel Algorithms for Linear Models
Author: Erricos Kontoghiorghes
Publisher: Springer Science & Business Media
Total Pages: 216
Release: 2000-01-31
Genre: Business & Economics
ISBN: 9780792377207

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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.


Parallel Algorithms and Architectures for DSP Applications

Parallel Algorithms and Architectures for DSP Applications
Author: Magdy A. Bayoumi
Publisher: Springer Science & Business Media
Total Pages: 289
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 146153996X

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Over the past few years, the demand for high speed Digital Signal Proces sing (DSP) has increased dramatically. New applications in real-time image processing, satellite communications, radar signal processing, pattern recogni tion, and real-time signal detection and estimation require major improvements at several levels; algorithmic, architectural, and implementation. These perfor mance requirements can be achieved by employing parallel processing at all levels. Very Large Scale Integration (VLSI) technology supports and provides a good avenue for parallelism. Parallelism offers efficient sohitions to several problems which can arise in VLSI DSP architectures such as: 1. Intermediate data communication and routing: several DSP algorithms, such as FFT, involve excessive data routing and reordering. Parallelism is an efficient mechanism to minimize the silicon cost and speed up the pro cessing time of the intermediate middle stages. 2. Complex DSP applications: the required computation is almost doubled. Parallelism will allow two similar channels processing at the same time. The communication between the two channels has to be minimized. 3. Applicatilm specific systems: this emerging approach should achieve real-time performance in a cost-effective way. 4. Testability and fault tolerance: reliability has become a required feature in most of DSP systems. To achieve such property, the involved time overhead is significant. Parallelism may be the solution to maintain ac ceptable speed performance.


Numerical Linear Algebra and Applications

Numerical Linear Algebra and Applications
Author: Biswa Nath Datta
Publisher: SIAM
Total Pages: 545
Release: 2010-02-04
Genre: Mathematics
ISBN: 0898716853

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An undergraduate textbook that highlights motivating applications and contains summary sections, examples, exercises, online MATLAB codes and a MATLAB toolkit. All the major topics of computational linear algebra are covered, from basic concepts to advanced topics such as the quadratic eigenvalue problem in later chapters.


Advances in Parallel Algorithms

Advances in Parallel Algorithms
Author: Ivan Dimov
Publisher: IOS Press
Total Pages: 216
Release: 1994
Genre: Computers
ISBN: 9789051991512

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This text presents an overview of research in the subjects of computational linear algebra, Monte Carlo algorithms and parallel algorithms in discrete mathematics. Topics covered include theoretical investigations of numerical analysis and parallel algorithms, and practical large-scale problem solving such as modelling of semiconductor devices, ballistic trajectory estimations and the simulation of distributed memory parallel computers.


Linear Algebra, Rational Approximation and Orthogonal Polynomials

Linear Algebra, Rational Approximation and Orthogonal Polynomials
Author: A. Bultheel
Publisher: Elsevier
Total Pages: 465
Release: 1997-11-17
Genre: Computers
ISBN: 0080535526

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Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal with singular situations. Links are made with more applied subjects such as linear system theory and signal processing, and with more advanced topics and recent results such as general bi-orthogonal polynomials, minimal Padé approximation, polynomial root location problems in the complex plane, very general rational interpolation problems, and the lifting scheme for wavelet transform computation. The text serves as a supplement to existing books on structured linear algebra problems, rational approximation and orthogonal polynomials. Features of this book: • provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials • requires an elementary knowledge of calculus and linear algebra yet introduces advanced topics. The book will be of interest to applied mathematicians and engineers and to students and researchers.