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A root-finding algorithm based on Newton's method

✍ Scribed by Kaj Madsen


Publisher
Springer Netherlands
Year
1973
Tongue
English
Weight
266 KB
Volume
13
Category
Article
ISSN
0006-3835

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Newton’s method and high-order algorithm
✍ 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