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EUROPAR
2011
Springer
12 years 4 months ago
A Fully Empirical Autotuned Dense QR Factorization for Multicore Architectures
: Tuning numerical libraries has become more difficult over time, as systems get more sophisticated. In particular, modern multicore machines make the behaviour of algorithms hard ...
Emmanuel Agullo, Jack Dongarra, Rajib Nath, Stanim...
CORR
2010
Springer
61views Education» more  CORR 2010»
13 years 4 months ago
A weakly stable algorithm for general Toeplitz systems
We show that a fast algorithm for the QR factorization of a Toeplitz or Hankel matrix A is weakly stable in the sense that RT R is close to AT A. Thus, when the algorithm is used ...
Adam W. Bojanczyk, Richard P. Brent, Frank R. de H...
APPML
2007
165views more  APPML 2007»
13 years 4 months ago
On the Iwasawa decomposition of a symplectic matrix
We consider the computation of the Iwasawa decomposition of a symplectic matrix via the QR factorization. The algorithms presented improve on the method recently decribed in [8]. K...
Michele Benzi, Nader Razouk
PPAM
2007
Springer
13 years 10 months ago
Parallel Tiled QR Factorization for Multicore Architectures
As multicore systems continue to gain ground in the High Performance Computing world, linear algebra algorithms have to be reformulated or new algorithms have to be developed in or...
Alfredo Buttari, Julien Langou, Jakub Kurzak, Jack...