𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new semilocal convergence theorem for Newton's method

✍ Scribed by JoséM Gutiérrez


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
787 KB
Volume
79
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The cubic semilocal convergence on two v
✍ Quan Zheng; Rongxia Bai; Zhongli Liu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 169 KB

In this paper, we discuss two variants of Newton's method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. Th

A semi-local convergence theorem for a r
✍ Zhengyu Wang; Xinyuan Wu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 462 KB

It is well known that Newton's iteration will abort due to the overflow if the derivative of the function at an iterate is singular or almost singular. In this paper, we study a robust revised Newton's method for solving nonlinear equations, which can be carried out with a starting point with a dege