| 带加速因子的线性方程组通用性迭代法的讨论 |
| |
| 引用本文： | 李安志.带加速因子的线性方程组通用性迭代法的讨论[J].四川师范大学学报(自然科学版),2010,33(1). |
| |
| 作者姓名： | 李安志 |
| |
| 作者单位： | 中国工程物理研究院,工学院,四川,绵阳,621900 |
| |
| 摘 要： | 在带加速因子的线性方程组通用性迭代解法的基础上,用几何方法对加速因子进行了讨论,证明了每次迭代中最佳加速因子的存在性,讨论了在每次迭代中使算法收敛的加速因子的取值范围,设计了一个动态调整加速因子的通用性迭代算法,并进行了程序验证.
|
| 关 键 词： | 线性方程组 行处理迭代法 加速因子 动态加速 |
Discussion on General Iteration Method with Accelerated Factor for Linear Equations |
| |
| LI An-zhi.Discussion on General Iteration Method with Accelerated Factor for Linear Equations[J].Journal of Sichuan Normal University(Natural Science),2010,33(1). |
| |
| Authors: | LI An-zhi |
| |
| Institution: | LI An-zhi (Institute of Technology,China Academy of Engineering Physics,Mianyang 621900,Sichuan) |
| |
| Abstract: | Based on general iteration method with accelerated factor for linear equations,the accelerated factor is discussed by using geometrical method.It is proved that the best accelerated factor of every iteration is existent.Moreover the accelerated factor range in which the iteration is convergent is also discussed.Finaly,a general iteration method with dynamic adjusting accelerated factor is designed and checked. |
| |
| Keywords: | system of linear equation row action iteration method accelerated factor dynamic accelerated |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
