NDLI: Parallel communication-free algorithm for triangular matrix inversion on heterogenoues platform

Content Provider	IEEE Xplore Digital Library
Author	Mahfoudhi, R. Mahjoub, Z. Nasri, W.
Copyright Year	2012
Description	Author affiliation: University of Tunis El Manar, Faculty of Sciences of Tunis, Manar II 2092, Tunis, Tunisia (Mahfoudhi, R.; Mahjoub, Z.) \|\| Higher School of Sciences and Techniques of Tunis, (ESSTT), Montfleury-Tunis 1008, Tunisia (Nasri, W.)
Abstract	We address in this paper the parallelization of a recursive algorithm for triangular matrix inversion (TMI) based on the ‘Divide and Conquer’ (D&C) paradigm. A series of different versions of an original sequential algorithm are first presented. A theoretical performance study permits to establish an accurate comparison between the designed algorithms. Afterwards, we develop an optimal parallel communication-free algorithm targeting a heterogeneous environment involving processors of different speeds. For this purpose, we use a non equitable and incomplete version of the D&C paradigm consisting in recursively decomposing the original TMI problem in two subproblems of non equal sizes, then decomposing only one subproblem and so on. The theoretical study is validated by a series of experiments achieved on two platforms, namely an 8-core shared memory machine and a distributed memory cluster of 16 nodes. The obtained results permit to illustrate the interest of the contribution.
Starting Page	553
Ending Page	560
File Size	1190331
Page Count	8
File Format	PDF
ISBN	9781467307086
e-ISBN	9788360810484
e-ISBN	9788360810514
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-09-09
Publisher Place	Poland
Access Restriction	Subscribed
Rights Holder	Polish Info Processing Socit
Subject Keyword	Algorithm design and analysis Parallel algorithm Heuristic algorithms Complexity theory Matrix decomposition Parallel algorithms Recursive algorithm Triangular matrix inversion Program processors Heterogeneous platform Communication free Clustering algorithms Divide and conquer
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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