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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Eigenanalysis-based task mapping on parallel computers with cellular networks
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by Peng Zhang, Yuxiang Gao, Janet Fierson and Yuefan Deng PDF
Math. Comp. 83 (2014), 1727-1756 Request permission


Through eigenanalysis of communication matrices, we develop a new objective function formulation for mapping tasks to parallel computers with cellular networks. This new formulation significantly speeds up the solution process through consideration of the symmetries in the supply matrix of a network and a transformation of the demand matrix of any application. The extent of the speedup is not easily obtainable through analytical means for most production networks. However, numerical experiments of mapping wave equations on 2D mesh onto 3D torus networks by simulated annealing demonstrate a far superior convergence rate and quicker escape from local minima with our new formulation than with the standard graph theory-based one.
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Additional Information
  • Peng Zhang
  • Affiliation: Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York 11794
  • Email:
  • Yuxiang Gao
  • Affiliation: Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York 11794
  • Email:
  • Janet Fierson
  • Affiliation: Department of Mathematics and Computer Science, La Salle University, Philadelphia, Pennsylvania 19141
  • ORCID: 0000-0001-5138-6917
  • Email:
  • Yuefan Deng
  • Affiliation: Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York 11794
  • Email:
  • Received by editor(s): October 18, 2010
  • Received by editor(s) in revised form: August 26, 2011, and November 17, 2012
  • Published electronically: December 16, 2013
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 83 (2014), 1727-1756
  • MSC (2010): Primary 68M10, 90C06, 90C20, 90C35; Secondary 68M07, 90C90, 65B99, 15A63, 15A18
  • DOI:
  • MathSciNet review: 3194128