Letter to the editor: accelerated convergence in Newton's method for approximating square roots

Authors:
M. A. Hernández;N. Romero
Affiliations:
Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, 26004 Logroño, Spain;Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, 26004 Logroño, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 4
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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.