| 线性代数方程组正交化列处理法 |
| |
| 引用本文： | 杨本立,曾宪雯,李安志.线性代数方程组正交化列处理法[J].西南交通大学学报,2003,38(4):445-449. |
| |
| 作者姓名： | 杨本立 曾宪雯 李安志 |
| |
| 作者单位： | 中国工程物理研究院职工学院,四川,绵阳,621900 |
| |
| 基金项目： | 中国工程物理研究院科学技术基金资助项目 (2 0 0 2 0 6 5 6 ) |
| |
| 摘 要： | 给出对任意的n×m阶相容性或不相容性线性代数方程组均有效的一种新的迭代算法 .证明了算法求解过程 .在经过m次迭代后 ,必然求得该方程组的理论上精确的解或最小二乘解 .分析了该算法的计算复杂度、数值稳定性和内在并行性
|
| 关 键 词： | 线性代数 方程组 解 正交化列处理法 |
| 文章编号： | 0258-2724(2003)04-0445-05 |
Column Action Method with Orthogonalization for System of Linear Algebraic Equations |
| |
| YANG Ben-li,ZENG Xian-wen,LI An-zhi.Column Action Method with Orthogonalization for System of Linear Algebraic Equations[J].Journal of Southwest Jiaotong University,2003,38(4):445-449. |
| |
| Authors: | YANG Ben-li ZENG Xian-wen LI An-zhi |
| |
| Abstract: | A new SISD iterative algorithm is put forward to effectively solve arbitrary con sistent or inconsistent system of linear algebraic equations. It is proved that accurate theoretic or least square solutions of the system can be obtained throu gh m iterations. In addition, the computational complexity, the numerical st ability and the inherent parallelism of the algorithm are discussed. |
| |
| Keywords: | linear algebra system of equations solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
