异步并行非线性AOR算法

Asynchronous Parallel Nonlinear AOR Algorithms

建立了求解大型非线性方程组Ａｘ十Ψ（Ｘ）＝ｂ的异步并行非线性ＡＯＲ算法及其外推形式，并在系数矩阵Ａ６Ｌ（Ｒｎ）是Ｈ－矩阵，Ψ：Ｒｎ→Ｒｎ是连续的对角映射的条件下，证明了新算法的全局收敛性．

We set up an asynchronous parallel nonlinear AOR algorithm and its extrapolation for solving the barge-scale system of nonlinear equations Ax+Ψ(x)= b. When the coefficient matrix A∈L (R) is an H-matrix,and Ψ: R →R is a continuous diagonal mapping, the global convergence of our new.method is proved.