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High Performance Algorithms for Structured Matrix Problems

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Release : 1998
Genre : Business & Economics
Kind : eBook
Book Rating : 947/5 ( reviews)

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Book Synopsis High Performance Algorithms for Structured Matrix Problems by : Peter Arbenz

Download or read book High Performance Algorithms for Structured Matrix Problems written by Peter Arbenz. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 10 contributions that summarize the state of the art in the areas of high performance solutions of structured linear systems and structured eigenvalue and singular-value problems. Topics covered range from parallel solvers for sparse or banded linear systems to parallel computation of eigenvalues and singular values of tridiagonal and bidiagonal matrices. Specific paper topics include: the stable parallel solution of general narrow banded linear systems; efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form; a numerical comparison of look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems; and parallel CG-methods automatically optimized for PC and workstation clusters. Annotation copyrighted by Book News, Inc., Portland, OR

Advances in the Theory of Computation and Computational Mathematics: High performance algorithms for structured matrix problems

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Release : 1996
Genre : Computer science
Kind : eBook
Book Rating : 503/5 ( reviews)

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Book Synopsis Advances in the Theory of Computation and Computational Mathematics: High performance algorithms for structured matrix problems by : Lee L. Keener

Download or read book Advances in the Theory of Computation and Computational Mathematics: High performance algorithms for structured matrix problems written by Lee L. Keener. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Polynomial and Matrix Computations

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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 655/5 ( reviews)

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Book Synopsis Polynomial and Matrix Computations by : Dario Bini

Download or read book Polynomial and Matrix Computations written by Dario Bini. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Our Subjects and Objectives. This book is about algebraic and symbolic computation and numerical computing (with matrices and polynomials). It greatly extends the study of these topics presented in the celebrated books of the seventies, [AHU] and [BM] (these topics have been under-represented in [CLR], which is a highly successful extension and updating of [AHU] otherwise). Compared to [AHU] and [BM] our volume adds extensive material on parallel com putations with general matrices and polynomials, on the bit-complexity of arithmetic computations (including some recent techniques of data compres sion and the study of numerical approximation properties of polynomial and matrix algorithms), and on computations with Toeplitz matrices and other dense structured matrices. The latter subject should attract people working in numerous areas of application (in particular, coding, signal processing, control, algebraic computing and partial differential equations). The au thors' teaching experience at the Graduate Center of the City University of New York and at the University of Pisa suggests that the book may serve as a text for advanced graduate students in mathematics and computer science who have some knowledge of algorithm design and wish to enter the exciting area of algebraic and numerical computing. The potential readership may also include algorithm and software designers and researchers specializing in the design and analysis of algorithms, computational complexity, alge braic and symbolic computing, and numerical computation.

Parallel Algorithms and Cluster Computing

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Release : 2007-06-24
Genre : Computers
Kind : eBook
Book Rating : 412/5 ( reviews)

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Book Synopsis Parallel Algorithms and Cluster Computing by : Karl Heinz Hoffmann

Download or read book Parallel Algorithms and Cluster Computing written by Karl Heinz Hoffmann. This book was released on 2007-06-24. Available in PDF, EPUB and Kindle. Book excerpt: This book presents advances in high performance computing as well as advances accomplished using high performance computing. It contains a collection of papers presenting results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering. From science problems to mathematical algorithms and on to the effective implementation of these algorithms on massively parallel and cluster computers, the book presents state-of-the-art methods and technology, and exemplary results in these fields.

Introduction to Matrix Computations

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Release : 1973-06-15
Genre : Mathematics
Kind : eBook
Book Rating : 142/5 ( reviews)

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Book Synopsis Introduction to Matrix Computations by : G. W. Stewart

Download or read book Introduction to Matrix Computations written by G. W. Stewart. This book was released on 1973-06-15. Available in PDF, EPUB and Kindle. Book excerpt: Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.

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