摘要
从带一个参数的三阶迭代族 (其中包括Halley迭代 ,Chebyshev迭代和超Halley迭代 )出发 ,推出避免二阶导数计值的带两个参数的迭代族 ,给出了它在统一判定条件下的收敛性和误差估计。并通过两个积分方程实例比较了它和Newton法 ,导数超前计值的变形Newton法 。
In this paper, we derive the second-order-derivative-free iterations with two parameters from the third-order iterations with one parameter, including the Halley's iteration, Chebyshev's iteration and super-Halley's iteration. And the convergence theorem, the error estimates under the unified determination are given. Moreover, we also compare its error with those of Newton's iteration and the deformation Newton iteration with advanced evaluation and the inverse-free definned Nentm iteration by two examples.
出处
《工程数学学报》
EI
CSCD
北大核心
2001年第4期29-34,共6页
Chinese Journal of Engineering Mathematics
基金
华东师大青年科研创新基金
上海市重点学科建设项目资助
