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Global convergence of Newton’s method on an interval

✍ Scribed by Lars Thorlund-Petersen


Publisher
Springer
Year
2004
Tongue
English
Weight
355 KB
Volume
59
Category
Article
ISSN
0340-9422

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📜 SIMILAR VOLUMES


An improvement of convergence in Newton'
✍ S. Lopez 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 393 KB

Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo