| 一类推广的拟牛顿多进程异步并行方法 |
| |
| 引用本文： | 范苏迪,罗晓琴,刘燕求,陈躜.一类推广的拟牛顿多进程异步并行方法[J].数学理论与应用,2010(1):98-104. |
| |
| 作者姓名： | 范苏迪 罗晓琴 刘燕求 陈躜 |
| |
| 作者单位： | 长沙理工大学数学与计算科学学院; |
| |
| 摘 要： | 本文通过近似雅可比矩阵Bk代替雅可比矩阵F′(xk),运用多进程异步并行方法求解非线性方程组。该方法在保持解的精度的情况下,缩短了运行时间和迭代步数。文中给出了算法收敛性的证明及八个非线性方程组的数值测试结果,表明该算法是可行的和快速的。
|
| 关 键 词： | 拟牛顿 非线性方程 多进程 异步并行 |
A Generalized Quasi-Newton Asynchronous Iterative Methods for Multiprocess |
| |
| Fan Sudi Luo Xiaoqin Liu Yanqiu Chen Zuan.A Generalized Quasi-Newton Asynchronous Iterative Methods for Multiprocess[J].Mathematical Theory and Applications,2010(1):98-104. |
| |
| Authors: | Fan Sudi Luo Xiaoqin Liu Yanqiu Chen Zuan |
| |
| Institution: | School of Mathematics and Computational Science/a>;Changsha University of Science & Technology/a>;Changsha/a>;410114 |
| |
| Abstract: | In this paper, instead of using Jacobian matrix F＇（xk ）, we use approximate Jacobian matrix Bk to solve several nonlinear equations by multi - process asynchronous parallel method. In the case of maintaining the accuracy of solution, this method shortens the running time and the number of iterations. This paper gives the proof of convergence of the algorithm and eight non - linear equations of the numerical test results, which shows that the algorithm is feasible and fast. |
| |
| Keywords: | Quasi-Newton Nonlinear equations Multi-process Asynchronous parallel |
| 本文献已被 CNKI 维普 等数据库收录！ |
