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APPML
2007
165views more  APPML 2007»
13 years 5 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
FCSC
2008
88views more  FCSC 2008»
13 years 5 months ago
Fraction-free matrix factors: new forms for LU and QR factors
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...
Wenqin Zhou, David J. Jeffrey
PDP
2008
IEEE
13 years 11 months ago
Scheduling of QR Factorization Algorithms on SMP and Multi-Core Architectures
This paper examines the scalable parallel implementation of QR factorization of a general matrix, targeting SMP and multi-core architectures. Two implementations of algorithms-by-...
Gregorio Quintana-Ortí, Enrique S. Quintana...
TOMS
1998
133views more  TOMS 1998»
13 years 4 months ago
Algorithm 782: Codes for Rank-Revealing QR Factorizations of Dense Matrices
Christian H. Bischof, Gregorio Quintana-Ortí...
ASPLOS
2009
ACM
14 years 5 months ago
QR decomposition on GPUs
QR decomposition is a computationally intensive linear algebra operation that factors a matrix A into the product of a unitary matrix Q and upper triangular matrix R. Adaptive sys...
Andrew Kerr, Dan Campbell, Mark Richards