摘要
定义了单调收敛函数和交错收敛函数,并根据其收敛特点,提出并证明了加快其收敛速度的两个命题.算例表明其效果较好.
Monotone convergence function and staggered convergence function are defined. Based on convergence features of these two functions, two propositions for accelerating convergence of the iteration are proposed and proved. A numerical example shows the two propositions have better effect.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第12期205-209,共5页
Mathematics in Practice and Theory
基金
国家"863"计划项目(2002AA62Z3191)
关键词
迭代法
单调收敛函数
交错收敛函数
收敛速度
iterative method
monotone convergence function
staggered convergence function
convergence rate
