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Numerical Linear Algebra Digital Signal Processing And Parallel Algorithms
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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 and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 717 pages. 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.
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 and published by Elsevier. This book was released on 2014-06-28 with total page 338 pages. 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.
Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan
Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 207 pages. 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.
Book Synopsis A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing by : Louis A. D'Alotto
Download or read book A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing written by Louis A. D'Alotto and published by CRC Press. This book was released on 1998-01-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Parallel Algorithms and Architectures for DSP Applications by : Magdy A. Bayoumi
Download or read book Parallel Algorithms and Architectures for DSP Applications written by Magdy A. Bayoumi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advances in Parallel Algorithms by : Ivan Dimov
Download or read book Advances in Parallel Algorithms written by Ivan Dimov and published by IOS Press. This book was released on 1994 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Linear Algebra and Applications, Second Edition by : Biswa Nath Datta
Download or read book Numerical Linear Algebra and Applications, Second Edition written by Biswa Nath Datta and published by SIAM. This book was released on 2010-02-04 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Linear Algebra in Signals, Systems and Control by : Paul Van Dooren
Download or read book Numerical Linear Algebra in Signals, Systems and Control written by Paul Van Dooren and published by Springer. This book was released on 2011-06-02 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.
Book Synopsis Algorithms & Architectures by : Tatsuo Ishiguro
Download or read book Algorithms & Architectures written by Tatsuo Ishiguro and published by SIAM. This book was released on 1993-01-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Linear Algebra by : Steven Roman
Download or read book Advanced Linear Algebra written by Steven Roman and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.
Book Synopsis Linear Algebra, Rational Approximation and Orthogonal Polynomials by : A. Bultheel
Download or read book Linear Algebra, Rational Approximation and Orthogonal Polynomials written by A. Bultheel and published by Elsevier. This book was released on 1997-11-17 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fast Reliable Algorithms for Matrices with Structure by : T. Kailath
Download or read book Fast Reliable Algorithms for Matrices with Structure written by T. Kailath and published by SIAM. This book was released on 1999-01-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable algorithms for large-scale structured systems of linear equations, in many cases, remains a significant open issue. Fast Reliable Algorithms for Matrices with Structure helps bridge this gap by providing the reader with recent contributions written by leading experts in the field. The authors deal with both the theory and the practice of fast numerical algorithms for large-scale structured linear systems. Each chapter covers in detail different aspects of the most recent trends in the theory of fast algorithms, with emphasis on implementation and application issues. Both direct and iterative methods are covered. This book is not merely a collection of articles. The editors have gone to considerable lengths to blend the individual papers into a consistent presentation. Each chapter exposes the reader to some of the most recent research while providing enough background material to put the work into proper context.
Book Synopsis Proceedings of the Fifth SIAM Conference on Applied Linear Algebra by : John Gregg Lewis
Download or read book Proceedings of the Fifth SIAM Conference on Applied Linear Algebra written by John Gregg Lewis and published by SIAM. This book was released on 1994-01-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Signal Treatment and Signal Analysis in NMR by : D.N. Rutledge
Download or read book Signal Treatment and Signal Analysis in NMR written by D.N. Rutledge and published by Elsevier. This book was released on 1996-06-10 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal analysis and signal treatment are integral parts of all types of Nuclear Magnetic Resonance. In the last ten years, much has been achieved in the development of dimensional spectra. At the same time new NMR techniques such as NMR Imaging and multidimensional spectroscopy have appeared, requiring entirely new methods of signal analysis. Up until now, most NMR texts and reference books limited their presentation of signal processing to a short introduction to the principles of the Fourier Transform, signal convolution, apodisation and noise reduction. To understand the mathematics of the newer signal processing techniques, it was necessary to go back to the primary references in NMR, chemometrics and mathematics journals. The objective of this book is to fill this void by presenting, in a single volume, both the theory and applications of most of these new techniques to Time-Domain, Frequency-Domain and Space-Domain NMR signals. Details are provided on many of the algorithms used and a companion CD-ROM is also included which contains some of the computer programs, either as source code or in executable form. Although it is aimed primarily at NMR users in the medical, industrial and academic fields, it should also interest chemometricians and programmers working with other techniques.
Book Synopsis Linear Algebra for Large Scale and Real-Time Applications by : M.S. Moonen
Download or read book Linear Algebra for Large Scale and Real-Time Applications written by M.S. Moonen and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Leuven, Belgium, August 3-14, 1992
Book Synopsis SVD and Signal Processing, III by : M. Moonen
Download or read book SVD and Signal Processing, III written by M. Moonen and published by Elsevier. This book was released on 1995-03-16 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book. The papers discuss algorithms and implementation architectures for computing the SVD, as well as a variety of applications such as systems and signal modeling and detection. The publication presents a number of keynote papers, highlighting recent developments in the field, namely large scale SVD applications, isospectral matrix flows, Riemannian SVD and consistent signal reconstruction. It also features a translation of a historical paper by Eugenio Beltrami, containing one of the earliest published discussions of the SVD. With contributions sourced from internationally recognised scientists, the book will be of specific interest to all researchers and students involved in the SVD and signal processing field.
Book Synopsis Linear Algebra for Control Theory by : Paul Van Dooren
Download or read book Linear Algebra for Control Theory written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra. This book is suitable for both mathematicians and students.
