摘要
各种变形牛顿迭代法在解不同复杂程度的非线性方程 f(x) =0时有各自的优缺点 .在 Smale点估计理论引导下 ,作者利用优序列方法 ,研究了弱条件下 ,减少导映照计值次数、避免导映照求逆两种变形牛顿迭代在求解时的收敛性问题 .对此两种迭代法分别建立了各自的收敛性定理 .证明了在弱条件下 ,两种方法产生的迭代序列均收敛于 f(x) =0的惟一零点 。
Recently, more and more deformed Newton's iterations have appeared. They each present their advantages and disadvantages in solving different equations. By means of Smale's point estimates and the majorant method, the convergence of two deformed Newton's iterations under weak conditions is studied. The convergence of the iteration's sequences to the solution under weak conditions and error estimates are also given.
出处
《浙江大学学报（理学版）》
CAS
CSCD
2003年第2期136-139,共4页
Journal of Zhejiang University（Science Edition）
