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The Divide-and-conquer Method for the Solution of the Symmetric Tridiagonal Eigenproblem and Transputer Implementation

1994
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Release : 1994
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Book Synopsis The Divide-and-conquer Method for the Solution of the Symmetric Tridiagonal Eigenproblem and Transputer Implementation by : Maria Paula Goncalves Fachin

Download or read book The Divide-and-conquer Method for the Solution of the Symmetric Tridiagonal Eigenproblem and Transputer Implementation written by Maria Paula Goncalves Fachin. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

A Coarse-grain Parallel Implementation of the Block Tridiagonal Divide and Conquer Algorithm for Symmetric Eigenproblems

2003
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Release : 2003
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Book Synopsis A Coarse-grain Parallel Implementation of the Block Tridiagonal Divide and Conquer Algorithm for Symmetric Eigenproblems by :

Download or read book A Coarse-grain Parallel Implementation of the Block Tridiagonal Divide and Conquer Algorithm for Symmetric Eigenproblems written by . This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Cuppen's divide and conquer technique for symmetric tridiagonal eigenproblems, along with Gu and Eisenstat's modification for improvement of the eigenvector computation, has yielded a stable, efficient, and widely-used algorithm. This algorithm has now been extended to a larger class of matrices, namely symmetric block tridiagonal eigenproblems. The Block Tridiagonal Divide and Conquer algorithm has shown several characteristics that make it suitable for a number of applications, such as the Self-Consistent-Field procedure in quantum chemistry. This thesis discusses the steps taken to implement a coarse-grain parallel version of the Block Tridiagonal Divide and Conquer algorithm, suitable for a parallel supercomputer or a cluster of machines. The parallel version relies on components of the ScaLAPACK parallel linear algebra library and follows the same model as the serial code, including the implementation of full deflation. A modest speedup (2 to 3) was achieved using a few processors (4 and 16). Increasing the number of processors from 4 to 16 produced only slightly better speedup. This implementation was not competitive with the standard ScaLAPACK symmetric eigenvalue routine.

A Serial Implementation of Cuppen's Divide and Conguer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem

1994 Dissertations, Academic
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Release : 1994
Genre : Dissertations, Academic
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Book Synopsis A Serial Implementation of Cuppen's Divide and Conguer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem by : Jeffery David Rutter

Download or read book A Serial Implementation of Cuppen's Divide and Conguer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem written by Jeffery David Rutter. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Vector and Parallel Processing - VECPAR 2000

2001-04-18 Computers
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Release : 2001-04-18
Genre : Computers
Kind : eBook
Book Rating : 993/5 ( reviews)

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Book Synopsis Vector and Parallel Processing - VECPAR 2000 by : Jose M.L.M. Palma

Download or read book Vector and Parallel Processing - VECPAR 2000 written by Jose M.L.M. Palma. This book was released on 2001-04-18. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Vector and Parallel Processing, VECPAR 2000, held in Porto, Portugal, in June 2000. The 40 revised full papers presented were carefully selected and improved during two rounds of reviewing. The papers are orgainized in topical sections on computational grids - languages and tools in multiplatform environments, cellular automata and applications in computational physics, linear and non-linear algebra, imaging, and finite/discrete elements in engineering applications.

High Performance Algorithms for Structured Matrix Problems

1998 Business & Economics
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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

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