Home > Publications database > Isoefficiency Analysis of Parallel QMR-Like Iterative Methods and its Implications on Parallel Algorithm Design |
Contribution to a conference proceedings/Contribution to a book | FZJ-2015-02057 |
1996
Institut für Informatik, 1996
Clausthal-Zellerfeld
Please use a persistent id in citations: http://hdl.handle.net/2128/11934
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.
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