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The complex dynamics of Newton's method for a double root

โœ Scribed by William J. Gilbert


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
617 KB
Volume
22
Category
Article
ISSN
0898-1221

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Newtonโ€™s method and high-order algorithm
โœ Franรงois Dubeau ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โˆˆ N, p โ‰ฅ 2. We consider affine combinations of the two modified pth-order methods w