6 search results - page 1 / 2 » Fraction-free matrix factors: new forms for LU and QR factor... |
FCSC
2008
13 years 5 months ago
2008
Gaussian elimination and LU factoring have been greatly studied from the algorithmic point of view, but much less from the point view of the best output format. In this paper, we g...
SIAMMAX
2010
12 years 12 months ago
2010
This article presents rigorous normwise perturbation bounds for the Cholesky, LU and QR factorizations with normwise or componentwise perturbations in the given matrix. The conside...
TPDS
2010
13 years 3 months ago
2010
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...
PPOPP
2010
ACM
14 years 2 months ago
2010
ACM
In LAPACK many matrix operations are cast as block algorithms which iteratively process a panel using an unblocked algorithm and then update a remainder matrix using the high perf...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
The algorithms in the current sequential numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multicore architectures. A new family of algorithms, the tile a...