| 解对称正定线性方程组的二阶迭代法及其收敛性 |
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| 引用本文： | 陈祥明.解对称正定线性方程组的二阶迭代法及其收敛性[J].土木建筑与环境工程,1990,12(4). |
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| 作者姓名： | 陈祥明 |
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| 作者单位： | 重庆建筑工程学院基础科学系 |
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| 摘 要： | 本文给出了解对称正定线性代数方程组Ax=b的一类迭代法,本算法以矩阵A的自然分裂为基础,采用代参数的二步线性迭代法为主迭代过程(称为外迭代),以任一收敛的迭代法为内迭代过程,联合产生迭代序列{x_K},从而提高了收敛速度。本文还证明了收敛性并给出了误差估计。
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| 关 键 词： | 对称正定矩阵 二步迭代法 欧氏模 |
ALGORITHM AND CONVERGENCE OF TWO-STAGE ITERATIVE PROCEDURE FOR SOLVING SYSTEMS OF LINEAR EQUATIONS |
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| Chen Xiangming.ALGORITHM AND CONVERGENCE OF TWO-STAGE ITERATIVE PROCEDURE FOR SOLVING SYSTEMS OF LINEAR EQUATIONS[J].土木建筑与环境工程,1990,12(4). |
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| Authors: | Chen Xiangming |
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| Affiliation: | Department of Natural Science |
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| Abstract: | This papr discusses algorithm and convergence of twostage iteratve procedure for solving systems of symmetric positive definite linear equation Ax=b. On the basis of nature splitting of A, this algorithm makes two-step linear iterative procedure (named outer iteration) and makes convergent inner iteraton of any kind.They generate a sequence of approximations {x_h} w.hich converges to the solution Ax=b quickly. This paper also proves is convergene and gives the estimation of error. |
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| Keywords: | symmetric positive definite matrix two-stage iteration Euclidean norm |
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