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Partitioning sparse rectangular matrices for parallel processing
Author(s) -
Tamara G. Kolda
Publication year - 1998
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/658436
Subject(s) - computer science , matrix (chemical analysis) , square (algebra) , algorithm , sparse matrix , square matrix , parallel computing , mathematics , symmetric matrix , eigenvalues and eigenvectors , geometry , materials science , composite material , gaussian , physics , quantum mechanics
The authors are interested in partitioning sparse rectangular matrices for parallel processing. The partitioning problem has been well-studied in the square symmetric case, but the rectangular problem has received very little attention. They will formalize the rectangular matrix partitioning problem and discuss several methods for solving it. They will extend the spectral partitioning method for symmetric matrices to the rectangular case and compare this method to three new methods -- the alternating partitioning method and two hybrid methods. The hybrid methods will be shown to be best

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