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Author : Kevin Gates
Release : 1994
Genre :
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Book Synopsis Parallel Divide and Conquer Algorithms for the Symmetric Tridiagonal Eigenproblem by : Kevin Gates
Download or read book Parallel Divide and Conquer Algorithms for the Symmetric Tridiagonal Eigenproblem written by Kevin Gates. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlos F. Borges
Release : 1992
Genre :
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Book Synopsis A Parallel Divide and Conquer Algorithm for the Generalized Real Symmetric Definite Tridiagonal Eigenproblem by : Carlos F. Borges
Download or read book A Parallel Divide and Conquer Algorithm for the Generalized Real Symmetric Definite Tridiagonal Eigenproblem written by Carlos F. Borges. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: We develop a parallel divide and conquer algorithm, by extension, for the generalized real symmetric definite tridiagonal eigenproblem. The algorithm employs techniques first proposed by Gu and Eisenstat to prevent loss of orthogonality in the computed eigenvectors for the modification algorithm. We examine numerical stability and adapt the insightful error analysis of Gu and Eisenstat to the arrow case. The algorithm incorporates an elegant zero finder with global monotone cubic convergence that has performed well in numerical experiments. A complete set of tested matlab routines implementing the algorithm is available on request from the authors.
Author :
Release : 2003
Genre :
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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.
Author : Francoise Tisseur
Release : 1998
Genre : Applied mathematics
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Book Synopsis Parallelizing the Divide and Conquer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem on Distributed Memory Architectures by : Francoise Tisseur
Download or read book Parallelizing the Divide and Conquer Algorithm for the Symmetric Tridiagonal Eigenvalue Problem on Distributed Memory Architectures written by Francoise Tisseur. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anjur Sundaresan Krishnakumar
Release : 1984
Genre : Algorithms
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Book Synopsis Divide-and-conquer Algorithms and Architectures for the Symmetric Tridiagonal Eigenproblem by : Anjur Sundaresan Krishnakumar
Download or read book Divide-and-conquer Algorithms and Architectures for the Symmetric Tridiagonal Eigenproblem written by Anjur Sundaresan Krishnakumar. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:
