| 在两循环矩阵类中求解线性方程组反问题的快速算法 |
| |
| 引用本文： | 王婕,吕志远. 在两循环矩阵类中求解线性方程组反问题的快速算法[J]. 经济数学, 2003, 20(1): 89-94 |
| |
| 作者姓名： | 王婕 吕志远 |
| |
| 作者单位： | 1. 本溪冶专基础部,辽宁,本溪,117022
2. 锦州师范学院,辽宁,锦州,121013 |
| |
| 摘 要： | 本文利用多项式最大公因式 ,给出了线性方程组的反问题在 r-循环矩阵类和对称 r-循环矩阵类中有唯一解的充要条件 ,进而得到线性方程组在 r循环矩阵类和对称 r-循环矩阵类中的反问题求唯一解的算法 .最后给出了应用该算法的数值例子 .
|
| 关 键 词： | 线性方程组 反问题 r-循环矩阵 对称r-循环矩阵 快速算法 |
| 修稿时间： | 2001-09-08 |
FAST ALGORITHM FOR SOLVING THE INVERSE PROBLEM OF LINEAR SYSTEM OF EQUATIONS IN THE TWO CLASSES OF CIRCULANT MATRICES |
| |
| Wang Jie. FAST ALGORITHM FOR SOLVING THE INVERSE PROBLEM OF LINEAR SYSTEM OF EQUATIONS IN THE TWO CLASSES OF CIRCULANT MATRICES[J]. Mathematics in Economics, 2003, 20(1): 89-94 |
| |
| Authors: | Wang Jie |
| |
| Abstract: | In this paper,Sufficient and necessary conditions Of existing of the unique solution of the inverse problem Of linear system of equation in the classes of r circulant matrices and symmetric r circulant matrices is presented by the largest common factor of polynomial.Fast algorithms for finding the unique solution of the inverse problem of linear system of equation in the classes of, r circulant matrices and symmetric r circulant matrices are given.Finally,numerical examples are given. |
| |
| Keywords: | Linear system of equation inverse problem r circulant matrix symmetric r circulant matrix fast algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
