IJPAM: Volume 85, No. 5 (2013)
ON COMPARISONS OF CHEBYSHEV-HALLEY ITERATION
FUNCTIONS BASED ON THEIR ASYMPTOTIC CONSTANTS
FUNCTIONS BASED ON THEIR ASYMPTOTIC CONSTANTS
F. Dubeau
Department of Mathematics
University of Sherbrooke
2500 University Boul., Sherbrooke (Qc), CANADA, J1K 2R1
Department of Mathematics
University of Sherbrooke
2500 University Boul., Sherbrooke (Qc), CANADA, J1K 2R1
Abstract. Using the Chebyshev-Halley family of iteration functions and numerical examples, we discuss the influence of both the asymptotic constant and the choice of the initial trial in the basin of attraction on the rapidity of convergence of an iterative method.
Received: May 29, 2013
AMS Subject Classification: 11B37, 65B99, 65D99, 65H05
Key Words and Phrases: Chebyshev-Halley iteration functions, asymptotic constant, order of convergence, approximate asymptotic constant, local order of convergence
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DOI: 10.12732/ijpam.v85i5.14 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 5
