| 系数矩阵为特殊M-矩阵的线性方程组的PE_k解法 |
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| 引用本文： | ZHOU Shao-ling,周少玲,张凯院. 系数矩阵为特殊M-矩阵的线性方程组的PE_k解法[J]. 兰州理工大学学报, 2009, 35(1) |
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| 作者姓名： | ZHOU Shao-ling 周少玲 张凯院 |
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| 作者单位： | 1. 西北工业大学,理学院,陕西,西安,710072;河北工程大学,理学院,河北,邯郸,056038
2. 西北工业大学,理学院,陕西,西安,710072 |
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| 摘 要： | 在PE方法的基础上,建立求解大型周期块状三对角线性代数方程组的PEk方法.讨论当方程组的系数矩阵为M-矩阵时,PEk方法的收敛性,给出PEk方法收敛的几个充分条件及参数k的选取范围.算例表明:当选取最优参数时,PEk方法的收敛速度大约是块Jacobi方法和对称块GS方法的两倍.
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| 关 键 词： | 周期块状三对角矩阵 PEk方法 M-矩阵 |
PE_k solution for linear equation system with special M-matrix as its coefficient matrix |
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| ZHOU Shao-ling,,ZHANG Kai-yuan. PE_k solution for linear equation system with special M-matrix as its coefficient matrix[J]. Journal of Lanzhou University of Technology, 2009, 35(1) |
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| Authors: | ZHOU Shao-ling ZHANG Kai-yuan |
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| Affiliation: | 1.School of Science;Northwestern Polytechnical University;Xi'an 710072;China;2.School of Science;Hebei University of Engineering;Handan 056038;China |
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| Abstract: | PEk solution for algebraic equation linear system with large periodic block and three diagonals was developed on the basis of PE method.When the coefficient matrix was M-matrix,the convergence of this new PEk method was discussed and several sufficient conditions for its convergence and the assignment range of parameter k were given.The computational example showed that,if the parameter k was optimal,the convergence rate with PEk method was about twice as that of blocked Jacobi iterative method or blocked s... |
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| Keywords: | periodic block and three diagonal matrix PEk method M-matrix |
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