Strategies for Parallelizing the Solution of Rational Matrix Equations

被引:0
|
作者
Badia, Jose M. [1 ]
Benner, Peter [2 ]
Castillo, Maribel [1 ]
Fassbender, Heike [3 ]
Mayo, Rafael [1 ]
Quintana-Orti, Enrique S. [1 ]
Quintana-Orti, Gregorio [1 ]
机构
[1] Univ Jaume 1, Dept Ingn & Ciencia Computadores, Castellon de La Plana 12071, Spain
[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
[3] Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38106 Braunschweig, Germany
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中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper we apply different strategies to parallelize a structure-preserving doubling method for the rational matrix equation X = Q + LX-1 L-T. Several levels of parallelism are exploited to enhance performance, and standard sequential and parallel linear algebra libraries are used to obtain portable and efficient implementations of the algorithms. Experimental results on a shared-memory multiprocessor show that a coarse-grain approach which combines two MPI processes with a multithreaded implementation of BLAS in general yields the highest performance.
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页码:255 / +
页数:2
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