FLAME: Formal Linear Algebra Methods Environment
ACM Transactions on Mathematical Software (TOMS)
Performance Prediction and Analysis of Parallel Out-Of-Core Matrix Factorization
HiPC '00 Proceedings of the 7th International Conference on High Performance Computing
Parallel Out-of-Core Matrix Inversion
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
Parallel Out-of-Core Cholesky and QR Factorization with POOCLAPACK
IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium
On the performance of parallel factorization of out-of-core matrices
Parallel Computing
Parallel out-of-core computation and updating of the QR factorization
ACM Transactions on Mathematical Software (TOMS)
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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In this paper parallel implementation of out-of-core Cholesky factorization is used to introduce the Parallel Out-of-Core Linear Algebra Package (POOCLAPACK), a flexible infrastructure for parallel implementation of out-of-core linear algebra operations. POOCLAPACK builds on the Parallel Linear Algebra Package (PLAPACK) for in-core parallel dense linear algebra computation. Despite the extreme simplicity of POOCLAPACK, the out-of-core Cholesky factorization implementation is shown to achieve in excess of 80% of peak performance on a 64 node configuration of the Cray T3E-600. Preliminary results from the HP Exemplar X-Class that demonstrate the portability of POOCLAPACK are also given.