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- W1504654443 abstract "Efficient parallel block algorithms for the LU factorization with partial pivoting, the Cholesky factorization, and the QR factorization transportable over a range of parallel MIMD architectures are presented. Parallel implementations of different block algorithms that utilize optimized uniprocessor level-3 BLAS are compared with corresponding routines of LAPACK (under development). Parallelism is mainly invoked implicitly in LAPACK by replacing calls to uniprocessor level-3 kernels by calls to parallel level-3 kernels and thereby maintaining portability. However, by parallelizing at the block level (explicitly) it is possible to overlap and pipeline different matrix-matrix operations and thereby gain some performance. Theoretical models give upper bounds on the best possible speedup of the explicitly and implicitly parallel block algorithms for the target machine." @default.
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- W1504654443 date "1992-04-01" @default.
- W1504654443 modified "2023-09-25" @default.
- W1504654443 title "Parallel Block Matrix Factorizations on the Shared-Memory Multiprocessor Ibm 3090 VF/600J" @default.
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- W1504654443 doi "https://doi.org/10.1177/109434209200600105" @default.
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