| 迭代法解线性方程组的收敛性比较 |
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| 引用本文： | 郑亚敏.迭代法解线性方程组的收敛性比较[J].江西科学,2009,27(5):659-661. |
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| 作者姓名： | 郑亚敏 |
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| 作者单位： | 榆林学院数学系,陕西,榆林,719000 |
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| 摘 要： | 迭代法是解线性方程组的一个重要的实用方法,特别是适用于求解在实际中大量出现的系数矩阵为稀疏阵的大型线性方程组,而Matlab程序能够提高实际计算的能力和计算的速度。用Matlab程序来实现解线性方程组Jacobi的迭代和Gauaa-Seidel迭代,特别给出一种新的迭代方法的Matlab程序,并对这3种迭代法收敛条件及收敛速度做出比较。
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| 关 键 词： | Matlab程序 Jacobi迭代 Gauaa-Seidel迭代 新的迭代方法 收敛性 |
Iterative Method of Solving Linear Equations Comparison |
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| ZHENG Ya-min.Iterative Method of Solving Linear Equations Comparison[J].Jiangxi Science,2009,27(5):659-661. |
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| Authors: | ZHENG Ya-min |
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| Institution: | ZHENG Ya-min ( Department of Mathematics, Yulin Colledge, Shangxi Yulin 719000 PRC ) |
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| Abstract: | Iterative Method about solving of linear equations is an important practical method, it is especially applicable to solve a large number of emerging sparse coefficient matrix for a large array of linear equations in practice, Matlabproeedures can to improve the capacity of the actual calculation and calculation of speed. In this paper, Matlab procedure is to achieve the solution of linear equations of the Jacobi iterative anditer Gauss-Seidel iterative, and gives a new iterative method of procedures, as well as the three iterative method comparisons. |
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| Keywords: | Matlab Jacobi iteration Gauss-Seidel iteration New iterative method Convergeous |
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