摘要
基于非线性方程组的牛顿-全局松弛并行多分裂方法的思想,将求解线性方程组的松弛矩阵多分裂USAOR迭代法推广至求解非线性方程组,研究了牛顿-松弛非定常多分裂多参数TOR迭代法,建立了局部收敛性定理,估计了收敛速度。
Based on the ideas of Newton-global relaxation parallel multiple splitting method,this paper extends the applicable equation type of relaxed matrix multisplitting USAOR iterative method from linear systems to nonlinear systems and presents Newton-relaxed nonstationary multisplitting multi-parameters TOR method for nonlinear equations.Moreover,the convergence of this methods are studied,the convergence theorems are set up and the rate of convergence is estimated.
作者
张理涛
张一帆
ZHANG Litao;ZHANG Yifan(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,Henan,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2021年第6期662-667,共6页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(11226337,11501525)
河南省高等学校重点科研项目计划基础研究专项(20zx003)
河南省高校重点项目(20A110033).
关键词
非线性方程组
矩阵多分裂方法
整体松弛多分裂多参数法
H-矩阵
nonlinear equations
matrix multisplitting method
global relaxed multisplitting multi-parameters method
H-matrix.
