The division free parallel algorithm for finding determinant

A cross multiplication method for determinant was generalized for any size of square matrices using a new permutation strategy.The permutation is generated based on starter sets.However, via permutation, the time execution of sequential algorithm became longer.Thus, in order to reduce the computatio...

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Bibliographic Details
Main Authors: Karim, Sharmila, Omar, Zurni, Ibrahim, Haslinda
Format: Article
Language:English
Published: Pushpa Publishing House 2013
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/16849/1/9.pdf
Description
Summary:A cross multiplication method for determinant was generalized for any size of square matrices using a new permutation strategy.The permutation is generated based on starter sets.However, via permutation, the time execution of sequential algorithm became longer.Thus, in order to reduce the computation time, a parallel strategy was developed which is suited for master and slave paradigm of the high performance computer.A parallel algorithm is integrated with message passing interface.The numerical results showed that the parallel methods computed the determinants faster than the sequential counterparts particularly when the tasks were equally allocated.