Accelerated convergence in Newton's method for approximating square roots.
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Universidad de La Rioja
info
ISSN: 0377-0427
Year of publication: 2005
Volume: 177
Issue: 1
Pages: 225-229
Type: Article
More publications in: Journal of Computational and Applied Mathematics
Abstract
In this paper, we construct a modification of Newton's method to accelerate the convergence of this method to the approximation of the positive square root of a positive real number. From this modification, we can define a new iterative process with prefixed order q ∈ ℕ, q ≥ 2. © 2004 Elsevier B.V. All rights reserved.