| 异步并行非线性多分裂Newton-GAOR方法的收敛性 |
| |
| 引用本文： | 谷同样 张天良. 异步并行非线性多分裂Newton-GAOR方法的收敛性[J]. 河南师范大学学报(自然科学版), 1997, 25(2): 5-8 |
| |
| 作者姓名： | 谷同样 张天良 |
| |
| 作者单位： | 河南师范大学数学系 |
| |
| 摘 要： | 本文首先给出了解非线性方程组的Ｎｅｗｔｏｎ－ＧＡＯＲ方法．在此基础上，我们得到了异步并行非线性多分裂Ｎｅｗｔｏｎ－ＧＡＯＲ（简记为ＡＰＮＭ－Ｎ－ＧＡＯＲ）方法，证明了方法的局部收敛性，给出了其Ｒ１收敛因子，并得出了多步ＡＰＮＭ－Ｎ－ＧＡＯＲ方法比一步方法收敛更快的结论，文［１］［４］可看作本文的特例
|
| 关 键 词： | 非线性方程组；非线性多分裂；异步并行算法；Newton－GAOR方法 |
On the Convergence of Asynchronous Parallal Nonlinear Multisplitting Newton-GAOR Method |
| |
| Gu Tongxiang et al. On the Convergence of Asynchronous Parallal Nonlinear Multisplitting Newton-GAOR Method[J]. Journal of Henan Normal University(Natural Science), 1997, 25(2): 5-8 |
| |
| Authors: | Gu Tongxiang et al |
| |
| Abstract: | Firstly, this paper sets up NewtonGAOR method for solving nonlinear systems of equations.Based on it, we put forwad asynchronous parallel nonlinear multisplitting NewtonGAOR (APNMNGAOR) method. For APNMNGAOR method, we have shown its local convergence,given its R 1factor of convergence and obtained that multistep APNMNGAOR method convergent faster than onestep one. can be regarded as speacial cases of this paper. |
| |
| Keywords: | nonlinear systems of equations nonlinear multisplitting asynchronous parallel algorithms NewtonGAOR method |
| 本文献已被 CNKI 维普 等数据库收录！ |
