论文标题:上双对角阵的Moore-Penrose逆的并行计算
Numerical Solutions of Lane-Emden Equation by Bifurcation Method
论文作者 方茂中
论文导师 王国荣,论文学位 硕士,论文专业 计算数学
论文单位 上海师范大学,点击次数 148,论文页数 37页File Size332k
2005-04-01论文网 http://www.lw23.com/lunwen_8476402/ 上双对角矩阵;并行计算;Moore-Penrose逆;零空间;Greville 并行算法;分而治之;MPI 环境
bidiagonal matrix;parallel computing; Moore-Penrose inverse;null space; Greville parallel algorithm;divide and conquer;MPI circumstance
在这篇文章中,我给出了三种并行计算上双对角阵矩阵的Moore-Penrose 逆的并行算法。它们是零空间并行方法,Greville 并行算法和分而治之并行算法。在每一章的结尾,都给出一个数值例子和一个有关并行效率的定理。同时我还给出了在MPI 环境下上述算法的源代码。
Three parallel algorithms are presented to compute Moore-Penrose inverse of a bidiagonalmatrix.They are null space parallel algorithm , Greville parallel algorithm and divide and conquerparallel algorithm.In the end of each chapter,I also give a numerical example and a theorem whichdeals with computing parallel eff?ciency. At the same time ,I also give the resource code of theseparallel algorithms in MPI circumstance.
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