| 基于Gauss-Seidel迭代格式的新迭代法 |
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| 引用本文： | 敬久旺.基于Gauss-Seidel迭代格式的新迭代法[J].高师理科学刊,2011,31(6):26-27,58. |
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| 作者姓名： | 敬久旺 |
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| 作者单位： | 西藏农牧学院公共教学部,西藏林芝,860000 |
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| 摘 要： | 对于线性方程组的数值解给出了一个基于G-S迭代格式的新的迭代格式,分析了该格式在系数矩阵特殊情况下的收敛性.最后,针对系数矩阵是正定的情况,给出了一种新的迭代格式,并证明了其收敛性.
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| 关 键 词： | 迭代法 线性方程组 正定矩阵 |
A new iterative method based on Gauss-Seidel iterative |
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| JING Jiu-wang.A new iterative method based on Gauss-Seidel iterative[J].Journal of Science of Teachers＇College and University,2011,31(6):26-27,58. |
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| Authors: | JING Jiu-wang |
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| Institution: | JING Jiu-wang(Department of Public Teaching,Tibet Agricultural and Animal Husbandry College,Nyingchi 860000,China) |
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| Abstract: | Based on G-S,gave a new iterative scheme to the solution of linear equation,analyzed the convergence of the new iterative scheme under the special condition of coefficient matrix.Finally,presented a new iterative scheme for the case that the coefficient matrix is positive definite,and prove the convergence. |
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| Keywords: | iterative method linear equations positive definite matrix |
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