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Titlebook: Parallel Processing and Applied Mathematics; 10th International C Roman Wyrzykowski,Jack Dongarra,Jerzy Waśniewski Conference proceedings 2

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Parallel One–Sided Jacobi SVD Algorithm with Variable Blocking Factores, their eigenvalue decompositions (EVDs) and an update of matrix columns and right singular vectors by matrix multiplication. In our recent parallel implementation with . processors and blocking factor ., these tasks are computed serially in each processor in a given parallel iteration step becaus
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Improving Perfect Parallelismrs. We show that there are memory-bound problems for which the runtime can be reduced by the forced parallelization of individual tasks across a small number of cores. Specific examples include solving differential equations, performing sparse matrix–vector multiplications, and sorting integer keys.
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Engineering Nonlinear Pseudorandom Number Generatorsugh linear generators lend themselves to a simpler evaluation that ensures favorable properties like guaranteed period, they may adversely affect the result of simulations or be quite large. Conversely, nonlinear generators may provide apparently random sequences, but are either very slow or difficu
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Extending the Generalized Fermat Prime Number Search Beyond One Million Digits Using GPUse GFN prime search, and describe new implementations of the ‘Genefer’ software (now available as open source) using CUDA and optimised CPU assembler which have underpinned this unprecedented progress. The results of the ongoing search are used to extend Gallot and Dubner’s published tables comparing
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