| 求逆阵及解线性方程组的迭代算法 |
| |
| 引用本文： | 孙俊逸. 求逆阵及解线性方程组的迭代算法[J]. 赣南师范学院学报, 1990, 0(Z1) |
| |
| 作者姓名： | 孙俊逸 |
| |
| 作者单位： | 湖北大学 |
| |
| 摘 要： | 本文给出求可逆方阵的逆矩阵和利用线性代数方程组AX=b的系数矩阵A的一个初始近似逆阵P求解方程组的迭代算法,这种算法具有迭代格式简单,能有效地控制求解过程中的舍入误差的影响,灵活确定迭代次数等特点。
|
| 关 键 词： | 逆阵矩 线性方程组 系数矩阵 初始近似矩阵 迭代算法 舍入误差 |
THE ITERATION METHOD TO DETERMINE REVERSIBILITY MATRIX AND COMPUTE SYSTEM OF LINEAR EQUAION |
| |
| Sun Junyi. THE ITERATION METHOD TO DETERMINE REVERSIBILITY MATRIX AND COMPUTE SYSTEM OF LINEAR EQUAION[J]. Journal of Gannan Teachers' College(Social Science(2)), 1990, 0(Z1) |
| |
| Authors: | Sun Junyi |
| |
| Affiliation: | Hubei University |
| |
| Abstract: | In this paper we presented an iterative computing method to determine the inverse matrixes in reversible matrixes,and to reduce the linear algebraie equation system AX=b by means of the initial approximate matrix P of the coefficient matrix A of the equation system. The method features in itt simplicity of the iterative form, its effectiveness in controlling the influence of round-off errors during the reducing process, and its inflexibility in determining the iferative steps. |
| |
| Keywords: | inverse matrix linear algebraic equation system coefficient matrix initial approximate matrix iterative computing method round-off errors. |
| 本文献已被 CNKI 等数据库收录！ |
