一类H-矩阵的块预条件多分裂USAOR迭代法
Block Preconditioned Multisplitting USAOR Methods for H-matrices
在这篇文章中利用预条件技术考虑了解线性方程组Ax=b 的块预条件多分裂USAOR迭代法.当系数矩阵A是H-矩阵时,分别给出了该方法的收敛性和一些谱半径的比较结果.从理论上证明了当A是M-矩阵时提出的块预条件多分裂USAOR迭代法优于经典方法的方法.数值例子也说明了提出方法的有效性.
In this paper,we present block preconditioned multisplitting USAOR iterative methods for linear equations Ax=b.When the coefficient matrix A is an H-matrix,we give the convergence of the considered methods.Theoretically prove that block preconditioned iterative methods are superior to the classical method when A is an M-matrix.
王天强、王学忠
数学
计算数学H-矩阵块多分裂USAOR迭代法预条件矩阵收敛性谱半径
omputational mathematics 1H-matrixBlock multisplitting USAOR iterative methodPreconditioneronvergenceSpectral radius
王天强,王学忠.一类H-矩阵的块预条件多分裂USAOR迭代法[EB/OL].(2014-05-19)[2025-08-05].http://www.paper.edu.cn/releasepaper/content/201405-304.点此复制
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