Accessibility Of Solutions By Newton's Method
Accessibility Of Solutions By Newton's Method
复制标题
牛顿法解的可及性
DOI：
10.1080/00207169508804427
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
M. A. Salanova
中科院分区：
文献类型：
--
作者：
J. Gutiérrez;M. Hernández;M. A. Salanova
我们根据对数凸度给出了巴拿赫空间中牛顿法收敛的新条件。正如我们在一些例子中所示，这些条件保证了在康托罗维奇定理的假设未得到验证的情况下牛顿序列的收敛性。
We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples.