On the guaranteed convergence of the Japanese zero-finding method.
Petković, Miodrag S., Rančić, Lidija, Milošević, Dušan (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “Geometry and convergence of some third-order methods.”
On the guaranteed convergence of the Japanese zero-finding method.
On a convergence theorem of (0, 1, 3) - interpolation.
R.B. Saxena (1961)
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On the convergence of Halley-like method.
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On convergence of Börsch-Supan's method with Weierstrass' corrections.
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Southwest Journal of Pure and Applied Mathematics [electronic only]
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Safe convergence of Tanabe's method.
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On the Convergence Order of Accelerated Root Iterations.
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Laguerre-Like Methods for the Simultaneous Approximation of Polynomial Multiple Zeros
Miodrag Petković, Lidija Rančić, Dušan Milošević (2006)
The Yugoslav Journal of Operations Research
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A convergence theorem for a method for simultaneous determination of all zeros of a polynomial.
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Publications de l'Institut Mathématique. Nouvelle Série
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Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative
Ioannis K. Argyros, Santhosh George (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That restricts the applicability of the method. In this paper we extended the applicability of the sixth-order multi-step method by using only hypotheses on the first derivative of the operator...
On the convergence of approximate iterations for an abstract equation
M. Kwapisz (1969)
Annales Polonici Mathematici
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