摘要
给出一种求解非线性方程组的并行多分裂两侧单调割线法,并证明了方法的单调收敛性,它是序区间割线法的推广,适合于在多台处理机上并行计算,算法简便,计算量省。文中还给出正则多分裂和斜度矩阵等概念及性质。
A parallel multisplitting two-side monotone approximate secant method for nonlinear system is given and its monotone convergence is proved. It is an extension of the order interval secant method and suited for parallel calculation on multiprocessors. The method has advantages of calculating easily and saving amount of calculation work. Some basic concepts and properties of regular multisplitting and slope matrix are given.
出处
《清华大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
1996年第2期1-8,共8页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金
关键词
非线性方程组
并行多分裂
序区间割线法
nonlinear equations
parallel multisplitting
order interval secant method