摘要
本文提出了求解大型非线性代数方程组的并行多分裂ＡＯＲ（ＡｃｃｅｌｅｒａｔｅｄＯｖｅｒｒｅｌａｘａｔｉｏｎ）算法。在一定的条件下，证明了非线性代数方程组解的存在唯一性，并建立了新算法的全局收敛性理论。
In this paper,we propose a class of parallel multisplitting AOR method for solving large-scale system of nonlinear equations Under certain conditions,we prove the existence and uniqueness of the solution of this system of nonlinear equations and set up the global convergence theory of our new method.
出处
《应用数学和力学》
CSCD
北大核心
1995年第7期633-639,共7页
Applied Mathematics and Mechanics
关键词
非线性代数方程
并行算法
AOR算法
H矩阵
system of nonlinear algebraic equations, parallel method, relaxation, H-matrix
