摘要
本文给出了解非线性方程组的松弛型并行区间多分裂算法──ＲＰＩＭ—ＧＡＯＲ算法．我们构造了并行区间多分裂的Ｋｒａｗｃｚｙｋ型区间算子，并证明了它具有判断解的存在与唯一性的特点，给出了ＲＰＩＭ—ＧＡＯＲ算法的收敛性定理及参数ｒｊ、ωｊ，ｊ＝１，２，…，ｎ的取值区间．
In this paper,we set up a class of relaxed parallel interval multisplitting algorithms for nonlinear systems of equations,which was called RPIM - GAOR algorithm. We have constructed the Krawczyk interval operator and shown that it had the property of investigatting the existence and uniqueness of the solution of the systems.Convergence theorems of RPIM-GAOR algorithm and convergence interval of parameters rj,ωj for j = 1, 2, ...,n have been given.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1996年第2期5-8,16,共5页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
非线性方程组
区间迭代法
多分裂方法
并行算法
nonlinear systems of equations
interval iterative method
multisplitting method
Parallel algorithm
krawczyk interval operator
