Contribution to a conference proceedings/Contribution to a book FZJ-2015-02057

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Isoefficiency Analysis of Parallel QMR-Like Iterative Methods and its Implications on Parallel Algorithm Design



1996
Institut für Informatik, 1996 Clausthal-Zellerfeld

Workshop über Parallelverarbeitung, Lessach (Österreich)
14th Workshop on Parallel Processing, LessachLessach, Austria, 25 Sep 1995 - 29 Sep 19951995-09-251995-09-29
Clausthal-Zellerfeld : Institut für Informatik, 1996, Informatik-Bericht 96/1, 28-49 ()

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Abstract: A specific problem arising out of electrostatics is taken as an example to demonstrate the process of, firstly, transforming a physical problem into a mathematical model and, secondly, its numerical solution by generating a system of linear equations via finite difference approximations. The resulting nonsymmetric sparse linear system is solved by a class of iterative methods that is defined by taking the Quasi-Minimal Residual(QMR) method as a typical member. A performance model called isoefficiency concept is used to analyze the behavior of such methods implemented on parallel distributed memory computers with two-dimensional mesh topology. The isoefficiency concept is employed to compare two different mappings of data to processors as well as to give hints how QMR-like iterative methods should be designed with respect to parallel computing.


Contributing Institute(s):
  1. Zentralinstitut für Angewandte Mathematik (ZAM)
  2. Jülich Supercomputing Center (JSC)
Research Program(s):
  1. 899 - ohne Topic (POF2-899) (POF2-899)

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 Record created 2015-03-17, last modified 2021-01-29