𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimization of the convergence of a modification of Newton's method with respect to the order of the speed of convergence

✍ Scribed by F. Kh. Arslanov; R. R. Tagirov


Publisher
Springer US
Year
1988
Tongue
English
Weight
97 KB
Volume
43
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Some modifications of Newton's method wi
✍ Jisheng Kou; Yitian Li; Xiuhua Wang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 133 KB

In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is dev

A class of Newton’s methods with third-o
✍ Xiaojian Zhou πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 162 KB

In this work, a class of iterative Newton's methods, known as power mean Newton's methods, is proposed. Some known results can be regarded as particular cases. It is shown that the order of convergence of the proposed methods is 3. Numerical results are given to verify the theory and demonstrate the