Parallel Out-of-Core Cholesky and QR Factorization with POOCLAPACK
IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium
Parallel out-of-core computation and updating of the QR factorization
ACM Transactions on Mathematical Software (TOMS)
Computational methods and processing strategies for estimating earth's gravity field
Computational methods and processing strategies for estimating earth's gravity field
Updating an LU Factorization with Pivoting
ACM Transactions on Mathematical Software (TOMS)
Programming matrix algorithms-by-blocks for thread-level parallelism
ACM Transactions on Mathematical Software (TOMS)
Solving "large dense matrix problems on multi-core processors
IPDPS '09 Proceedings of the 2009 IEEE International Symposium on Parallel&Distributed Processing
Out-of-Core Computation of the QR Factorization on Multi-core Processors
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Rapid development of high-performance out-of-core solvers
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
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We provide experimental evidence that current desktop computers feature enough computational power to solve large-scale dense linear algebra problems. While the high computational cost of the numerical methods for solving these problems can be tackled by the multiple cores of current processors, we propose to use the disk to store the large data structures associated with these applications. Our results also show that the limited amount of RAM and the comparatively slow disk of the system pose no problem for the solution of very large dense linear systems and linear least-squares problems. Thus, current desktop computers are revealed as an appealing, cost-effective platform for research groups that have to deal with large dense linear algebra problems but have no direct access to large computing facilities.