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» Matrix algebra and applicative programming
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IPPS
2006
IEEE
14 years 1 months ago
Algorithm-based checkpoint-free fault tolerance for parallel matrix computations on volatile resources
As the desire of scientists to perform ever larger computations drives the size of today’s high performance computers from hundreds, to thousands, and even tens of thousands of ...
Zizhong Chen, Jack Dongarra
JAT
2010
51views more  JAT 2010»
13 years 2 months ago
Optimal adaptive computations in the Jaffard algebra and localized frames
We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in m...
Stephan Dahlke, Massimo Fornasier, Karlheinz Gr&ou...
ECOOPW
1998
Springer
13 years 12 months ago
The Matrix Template Library: A Unifying Framework for Numerical Linear Algebra
Abstract. We present a uni ed approach for expressing high performance numerical linear algebra routines for a class of dense and sparse matrix formats and shapes. As with the Stan...
Jeremy G. Siek, Andrew Lumsdaine
SIAMJO
2011
12 years 10 months ago
Rank-Sparsity Incoherence for Matrix Decomposition
Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-ran...
Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Pa...
ASPLOS
2009
ACM
14 years 8 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