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- Alfredo Buttari, Julien Langou, Jakub Kurzak, Jack J. Dongarra
- Parallel Computing
- 2009

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 order to take advantage of the architectural features on these new processors. Fine grain parallelism becomes a major requirement and introduces the necessity of loose… (More)

- Alfredo Buttari, Julien Langou, Jakub Kurzak, Jack J. Dongarra
- PPAM
- 2007

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 order to take advantage of the architectural features on these new processors. Fine-grain parallelism becomes a major requirement and introduces the necessity of loose… (More)

- Julie Langou, Julien Langou, Piotr Luszczek, Jakub Kurzak, Alfredo Buttari, Jack Dongarra
- SC '06
- 2006

Recent versions of microprocessors exhibit performance characteristics for 32 bit floating point arithmetic (single precision) that is substantially higher than 64 bit floating point arithmetic (double precision). Examples include the Intel's Pentium IV and M processors, AMD's Opteron architectures and the IBM's Cell Broad Engine processor. When working in… (More)

- Jakub Kurzak, Alfredo Buttari, Jack J. Dongarra
- IEEE Transactions on Parallel and Distributed…
- 2008

The Sony/Toshiba/IBM (STI) CELL processor introduces pioneering solutions in processor architecture. At the same time it presents new challenges for the development of numerical algorithms. One is effective exploitation of the differential between the speed of single and double precision arithmetic; the other is efficient parallelization between the short… (More)

- Patrick Amestoy, Cleve Ashcraft, Olivier Boiteau, Alfredo Buttari, Jean-Yves L'Excellent, Clément Weisbecker
- SIAM J. Scientific Computing
- 2015

Matrices coming from elliptic Partial Differential Equations (PDEs) have been shown to have a low-rank property: well defined off-diagonal blocks of their Schur complements can be approximated by low-rank products. Given a suitable ordering of the matrix which gives to the blocks a geometrical meaning, such approximations can be computed using an SVD or a… (More)

- Marc Baboulin, Alfredo Buttari, +5 authors Stanimire Tomov
- Computer Physics Communications
- 2009

a Department of Mathematics, University of Coimbra, Coimbra, Portugal b French National Institute for Research in Computer Science and Control, Lyon, France c Department of Electrical Engineering and Computer Science, University Tennessee, Knoxville, TN, USA d Oak Ridge National Laboratory, Oak Ridge, TN, USA e University of Manchester, Manchester, United… (More)

Power consumption and heat dissipation issues are pushing the microprocessors industry towards multicore design patterns. Given the cubic dependence between core frequency and power consumption, multicore technologies leverage the idea that doubling the number of cores and halving the cores frequency gives roughly the same performance reducing the power… (More)

- Alfredo Buttari, Jack J. Dongarra, Jakub Kurzak, Piotr Luszczek, Stanimire Tomov
- ACM Trans. Math. Softw.
- 2008

By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many sparse linear algebra algorithms can be significantly enhanced while maintaining the 64-bit accuracy of the resulting solution. These ideas can be applied to sparse multifrontal and supernodal direct techniques and sparse iterative techniques such as Krylov… (More)