Matrix multiplication with a hypercube algorithm on multi-core processor cluster

The algorithm of multiplication of matrices of Dekel, Nassimi and Sahani or Hypercube is analysed, modified and implemented on multicore processor cluster, where the number of processors used is less than that required by the algorithm n33. 23, 43 and 83 processing units are used to multiply matrice...

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Autores:
Zavala-Diaz, José Crispín
Pérez-Ortega, Joaquín
Salazar-Reséndiz, Efraín
Guadarrama-Rogel, Luis César
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/60715
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/60715
http://bdigital.unal.edu.co/59047/
Palabra clave:
62 Ingeniería y operaciones afines / Engineering
Hypercube algorithm
multi-core processor cluster
Matrix multiplication
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The algorithm of multiplication of matrices of Dekel, Nassimi and Sahani or Hypercube is analysed, modified and implemented on multicore processor cluster, where the number of processors used is less than that required by the algorithm n33. 23, 43 and 83 processing units are used to multiply matrices of the order of 10x10, 102x102 and 103X103. The results of the mathematical model of the modified algorithm and those obtained from the computational experiments show that it is possible to reach acceptable speedup and parallel efficiencies, based on the number of used processor units. It also shows that the influence of the external communication link among the nodes is reduced if a combination of the available communication channels among the cores in a multi-core cluster is used.