Temat: sparse symmetric matrices

Skocz do pozycji: 1.

Tytuł:: Parallel Algorithms for Forward and Back Substitution in Linear Algebraic Equations of Finite Element Method
Autorzy:: Fialko, Sergiy
Tematy:: finite element method
multithreaded parallelization
sparse symmetric matrices
triangular solution; Pokaż więcej
Wydawca:: Instytut Łączności - Państwowy Instytut Badawczy
Powiązania:: https://bibliotekanauki.pl/articles/308616.pdf Link otwiera się w nowym oknie
Opis:: This paper considers several algorithms for parallelizing the procedure of forward and back substitution for high-order symmetric sparse matrices on multi-core computers with shared memory. It compares the proposed approaches for various ﬁnite-element problems of structural mechanics which generate sparse matrices of diﬀerent structures.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A parallel block Lanczos algorithm and its implementation for the evaluation of some eigenvalues of large sparse symmetric matrices on multicomputers
Autorzy:: Guarracino, M. R.
Perla, F.
Zanetti, P.
Tematy:: cluster architecture
symmetric block Lanczos algorithm
sparse matrices
parallel eigensolver
algorytm Lanczosa
macierze rzadkie
architektura klastrowa; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908413.pdf Link otwiera się w nowym oknie
Opis:: In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC performance on a cluster of workstations with test matrices from Matrix Market and Higham’s collections. A comparison with a PARPACKroutine is also detailed. Finally, parallel performance is evaluated on random matrices, using standard parameters.
Dostawca treści:: Biblioteka Nauki

Artykuł

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