| 用方阵乘幂求和法求线性方程组的数值解 |
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| 引用本文： | 张志斌,李世作,青剑.用方阵乘幂求和法求线性方程组的数值解[J].大学数学,2008,24(6). |
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| 作者姓名： | 张志斌 李世作 青剑 |
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| 作者单位： | 1. 广西大学,电气工程学院,南宁,530004
2. 中国海军91428部队,宁波,315112 |
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| 摘 要： | 介绍了一种新型的,不同于传统的雅克比或高斯塞德尔迭代法的,求解线性方程组的方阵乘幂求和法,并引入了方阵意义上求积分的龙贝格法.该算法成立须以方阵A为实阵,非奇异且主对角元素占优.该法较雅克比或高斯塞德尔迭代的计算量小,特别有助于求解大型线性方程组的问题.
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| 关 键 词： | 雅克比迭代法 高斯塞德尔迭代法 方阵的乘幂求和法 计算量 |
New Solving Method of Linear Equations by Calculating the Summation of Square Matrix's Power(SSMP) |
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| ZHANG Zhi-bin,LI Shi-zuo,QING Jian.New Solving Method of Linear Equations by Calculating the Summation of Square Matrix''''s Power(SSMP)[J].College Mathematics,2008,24(6). |
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| Authors: | ZHANG Zhi-bin LI Shi-zuo QING Jian |
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| Abstract: | This paper gives a new method of solving linear equations with certain precision and less computational complexity,which is not adopting the traditional iterative method of Jacobi or Gauss-Seidel,and gives the Romberg formula in the sense of square matrix,in the special case that if A is a real,square matrix. |
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| Keywords: | Jacobi's iteration Gauss-Seidel's iteration method SSMP computational complexity |
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