𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Convergence of Some Interval-Arithmetic Modifications of Newton’s Method

✍ Scribed by Alefeld, G.

Book ID
118185180
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
862 KB
Volume
21
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Some modifications of Newton's method wi
Some modifications of Newton's method with fifth-order convergence
✍ Jisheng Kou; Yitian Li; Xiuhua Wang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 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

Some modifications of Newton’s method wi
Some modifications of Newton’s method with higher-order convergence for solving nonlinear equations
✍ Liang Fang; Guoping He 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 462 KB

step iterative method Order of convergence a b s t r a c t In [YoonMee Ham etal., Some higher-order modifications of Newton's method for solving nonlinear equations, J. Comput. Appl. Math., 222 (2008) 477-486], some higher-order modifications of Newton's method for solving nonlinear equations are c