𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Newton's method and high order singularities

✍ Scribed by G.W. Reddien

Book ID
108020056
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
561 KB
Volume
5
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A high-order newton-like method
A high-order newton-like method
✍ Xiuhua Wang; Lijun Tang; Jisheng Kou πŸ“‚ Article πŸ“… 2011 πŸ› Wuhan University 🌐 English βš– 250 KB
Newton’s Method at Singular Points. II
Newton’s Method at Singular Points. II
✍ Decker, D. W.; Kelley, C. T. πŸ“‚ Article πŸ“… 1980 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 645 KB
Newton’s method and high-order algorithm
Newton’s method and high-order algorithms for the nth root computation
✍ FranΓ§ois Dubeau πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 705 KB

Two modifications of Newton's method to accelerate the convergence of the nth root computation of a strictly positive real number are revisited. Both modifications lead to methods with prefixed order of convergence p ∈ N, p β‰₯ 2. We consider affine combinations of the two modified pth-order methods w