On the global convergence of Halley's iteration formula

M.G. Davies, B. Dawson

Type: Article

Publication Date: 1975-04-01

Citations: 43

DOI: https://doi.org/10.1007/bf01400962

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Numerische Mathematik - View

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Works That Cite This (38)

Action	Title	Year	Authors
+	A family of root finding methods	1976	Eldon Hansen Merrell L. Patrick
+	A Class of Higher Order Algorithms for Computing Polynomial Zeros	2006	M.A. Hasan
+	A basic family of iteration functions for polynomial root finding and its characterizations	1997	Bahman Kalantari Iraj Kalantari Rahim Zaare-Nahandi
+	On Halley's Iteration Method	1985	Walter Gander
+	Iterative solution of systems of nonlinear equations based upon quadratic approximations	1986	Wilhelm Werner
+	On the global convergence of Schröder’s iterative formulae for real roots of algebraic equations	2018	Hiroshi Sugiura Takemitsu Hasegawa
+	Rectified approximations for the solution of nonlinear equations	1984	Shlomo Breuer Gideon Zwas
+	An iterative method of global convergence without derivatives in the class of smooth functions	1992	Jian‐Guo Zhang
+	An algorithm for the computation of zeros of a special class of entire functions	1985	Michael Farmer George Loizou
+	On the global convergence of Schröder’s iteration formula for real zeros of entire functions	2019	Hiroshi Sugiura Takemitsu Hasegawa

Works Cited by This (4)

Action	Title	Year	Authors
+	Solution of equations in Euclidean and Banach spaces	1973	Alexander Ostrowski
+	Iterative Methods for the Solution of Equations.	1967	David M. Young J. F. Traub
+ PDF Chat	On types of convergence and on the behavior of approximations in the neighborhood of a multiple root of an equation	1949	E. BODEWIG
+	Methodus nova accurata & facilis inveniendi radices æqnationum quarumcumque generaliter, sine praviæ reductione	1694	Edmond Halley