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» A Paradigm for Parallel Matrix Algorithms:
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TPDS
2010
174views more  TPDS 2010»
14 years 9 months ago
Parallel Two-Sided Matrix Reduction to Band Bidiagonal Form on Multicore Architectures
The objective of this paper is to extend, in the context of multicore architectures, the concepts of tile algorithms [Buttari et al., 2007] for Cholesky, LU, QR factorizations to t...
Hatem Ltaief, Jakub Kurzak, Jack Dongarra
CF
2006
ACM
15 years 5 months ago
Memory efficient parallel matrix multiplication operation for irregular problems
Regular distributions for storing dense matrices on parallel systems are not always used in practice. In many scientific applicati RUMMA) [1] to handle irregularly distributed mat...
Manojkumar Krishnan, Jarek Nieplocha
PVM
1999
Springer
15 years 3 months ago
Parallel Monte Carlo Algorithms for Sparse SLAE Using MPI
The problem of solving sparse Systems of Linear Algebraic Equations (SLAE) by parallel Monte Carlo numerical methods is considered. The almost optimal Monte Carlo algorithms are pr...
Vassil N. Alexandrov, Aneta Karaivanova
PC
2002
158views Management» more  PC 2002»
14 years 10 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
EUROPAR
2006
Springer
15 years 2 months ago
Surrounding Theorem: Developing Parallel Programs for Matrix-Convolutions
Computations on two-dimensional arrays such as matrices and images are one of the most fundamental and ubiquitous things in computational science and its vast application areas, bu...
Kento Emoto, Kiminori Matsuzaki, Zhenjiang Hu, Mas...