A parallel Cholesky algorithm for the solution of symmetric linear systems.
Khazal, R.R., Chawla, M.M. (2004)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The non-symmetric s-step Lanczos algorithm: Derivation of efficient recurrences and synchronization-reducing variants of BICG and QMR”
A parallel Cholesky algorithm for the solution of symmetric linear systems.
Implementation of the gmr algorithm for large symmetric eigenproblems
J. Kuczyński (1988)
Applicationes Mathematicae
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A parallel block Lanczos algorithm and its implementation for the evaluation of some eigenvalues of large sparse symmetric matrices on multicomputers
Mario Guarracino, Francesca Perla, Paolo Zanetti (2006)
International Journal of Applied Mathematics and Computer Science
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In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC...
A novel parallel algorithm based on the Gram-Schmidt method for tridiagonal linear systems of equations.
Ghodsi, Seyed Roholah, Taeibi-Rahni, Mohammad (2010)
Mathematical Problems in Engineering
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Nonlinear iterative methods and parallel computation
Fridrich Sloboda (1976)
Aplikace matematiky
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On the relation between the AINV and the FAPINV algorithms.
Salkuyeh, Davod Khojasteh, Roohani, Hadi (2009)
International Journal of Mathematics and Mathematical Sciences
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Parallel Processing on Block-based Gauss-Jordan Algorithm for Desktop Grid
Yizi Shang, Guiming Lu, Ling Shang, Guangqian Wang (2011)
Computer Science and Information Systems
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Algorithm 90. A procedure realizing a second order one-step method solving a system of ordinary differential equations
M. Szyszkowicz (1984)
Applicationes Mathematicae
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Variations on the Gram-Schmidt and the Huang algorithms for linear systems: A numerical study
Emilio Spedicato, Maria Teresa Vespucci (1993)
Applications of Mathematics
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In this paper we compare the numerical performance on a set of ill conditioned problems of several algorithms for linear systems based upon the explicit QR factorization and the implicit LQ factorization associated with the Huang and the modified Huang algorithms in the ABS class. The results indicate that the modified Huang algorithm is generally more accurate than the Huang algorithm and competitive with commercial codes based upon the QR factorization with Householder of Givens reflections....