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TOMS
2008
120views more  TOMS 2008»
13 years 5 months ago
Families of algorithms related to the inversion of a Symmetric Positive Definite matrix
We present families of algorithms for operations related to the computation of the inverse of a Symmetric Positive Definite (SPD) matrix: Cholesky factorization, inversion of a tr...
Paolo Bientinesi, Brian C. Gunter, Robert A. van d...
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...
CORR
2010
Springer
153views Education» more  CORR 2010»
13 years 5 months ago
Towards an Efficient Tile Matrix Inversion of Symmetric Positive Definite Matrices on Multicore Architectures
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...
Emmanuel Agullo, Henricus Bouwmeester, Jack Dongar...
TPDS
2010
174views more  TPDS 2010»
13 years 3 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
IPPS
1998
IEEE
13 years 9 months ago
High Performance Linear Algebra Package LAPACK90
Abstract. LAPACK90 is a set of LAPACK90 subroutines which interfaces FORTRAN90 with LAPACK. All LAPACK driver subroutines including expert drivers and some LAPACK computationals ha...
Jack Dongarra, Jerzy Wasniewski