摘要
本文给出了适合在多处理机系统并行求解非线性方程组的异步Newton迭代方法.在F'(x)Lipschitz连续的条件下,利用非负矩阵和非负向量的理论,证明了算法的局部超线性收敛性以及Kantorovich型收敛结果.
This paper presents an asynchronous Newton iterative method for resolvingparallel solutions of nonlinear equations in multiprocessors. Under Lipschitz's continuity of F' (X),the convergence of the super-linear and Kantorovich are provd by using non-matrix and non-vectors.
出处
《长沙大学学报》
1998年第4期13-18,共6页
Journal of Changsha University
关键词
非线性方程组
解
异步迭代法
牛顿迭代法
the Solutions for nonlinear equations, Parallel algorithms,Asynchronous iteration