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024 7 _ |a 2128/11934
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037 _ _ |a FZJ-2015-02057
100 1 _ |a Bücker, H. Martin
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111 2 _ |a 14th Workshop on Parallel Processing
|c Lessach
|d 1995-09-25 - 1995-09-29
|w Austria
245 _ _ |a Isoefficiency Analysis of Parallel QMR-Like Iterative Methods and its Implications on Parallel Algorithm Design
260 _ _ |a Clausthal-Zellerfeld
|c 1996
|b Institut für Informatik, 1996
295 1 0 |a Workshop über Parallelverarbeitung, Lessach (Österreich)
300 _ _ |a 28-49
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490 0 _ |a Informatik-Bericht
|v 96/1
520 _ _ |a 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.
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