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On Newton’s method and Halley’s method for the principal th root of a matrix

✍ Scribed by Chun-Hua Guo


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
295 KB
Volume
432
Category
Article
ISSN
0024-3795

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Newton’s method and high-order algorithm
✍ François Dubeau 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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 ≥ 2. We consider affine combinations of the two modified pth-order methods w