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Halley's method

Known as: Bailey's method (root finding), Halley method 
In numerical analysis, Halley’s method is a root-finding algorithm used for functions of one real variable with a continuous second derivative, i.e… Expand
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Papers overview

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2007
2007
Abstract In this paper, we suggest and analyze a new two-step predictor–corrector type iterative methods for solving nonlinear… Expand
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Highly Cited
2001
Highly Cited
2001
From a study of the convexity we give an acceleration for Newton's method and obtain a new third order method. Then we use this… Expand
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Highly Cited
1995
Highly Cited
1995
According to Traub [Tra64], Halley's iteration function (I.F.) "must share with the secant I.F. the distinction of being the most… Expand
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1993
1993
Abstract We provide a convergence theorem under the usual Ostrowski–Kantorovich conditions for an equivalent form of the Halley… Expand
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Highly Cited
1990
Highly Cited
1990
In this paper we present a system of a priori error bounds for the Halley method in Banach spaces. Our theorem supplies… Expand
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Highly Cited
1988
Highly Cited
1988
The chemical composition of the solid grains from comet Halley can be inferred from impact-ionization time-of-flight mass… Expand
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Highly Cited
1986
Highly Cited
1986
Recent observations by Farman et al.1 reveal remarkable depletions in the total atmospheric ozone content in Antarctica. The… Expand
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Highly Cited
1986
Highly Cited
1986
Large depletions in stratospheric ozone were first reported by Farman et al.1 at Halley Bay (76°S), and confirmed by satellite… Expand
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1958
1958
IONOSPHERIC measurements at the Royal Society Base at Halley Bay (75° 31′ S. 26° 36′ W. geomagnetic latitude 65° 47′ S.) started… Expand
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