Róbert Busa-Fekete BUSAROBI@INF.U-SZEGED.HU Eyke Hüllermeier EYKE@UPB.DE Balázs Szörényi SZORENYI@INF.U-SZEGED.HU MTA-SZTE Research Group on Artificial Intelligence, Tisza Lajos krt. 103., H-6720 Szeged, Hungary Department of Computer Science, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany INRIA Lille Nord Europe, SequeL project, 40 avenue Halley, 59650 Villeneuve d’Ascq,...

A one parameter family of iteration functions for finding roots is derived. ] h e family includes the Laguerre, Halley, Ostrowski and Euler methods and, as a limiting case, Newton's method. All the methods of the family are cubically convergent for a simple root (except Newton's which is quadratically convergent). The superior behavior of Laguerre's method, when starting from a point z for whic...

1 CINVESTAV-IPN, Departamento de Computación, Av. IPN No. 2508, Col. San Pedro Zacatenco, México, D.F. 07300, Mexico ccoello@cs.cinvestav.mx 2 Laboratoire d’Informatique Fondamentale de Lille (LIFL), UMR CNRS 8022, Université Lille 1, Bâtiment M3, 59655 Villeneuve d’Ascq cedex, France 3 INRIA Lille-Nord Europe, Parc Scientifique de la Haute Borne, 40 avenue Halley, 59650 Villeneuve d’Ascq, Fran...

In this paper, we present some new variants of Chebyshev-Halley methods free from second derivative for solving nonlinear equation of the type f(x) = 0, and show that the convergence orders of the proposed methods are three or four. Several numerical examples are given to illustrate the efficiency and performance of the new methods.

Acknowledgements The extract from the MINAP database was provided through the MINAP Academic Group following peer review of our research proposal. We acknowledge all the hospitals in England and Wales for their contribution of data to MINAP. We gratefully acknowledge the funder of this research work, the Sir Halley Stewart Trust. There are no competing interests and the authors have nothing to ...

A convergence criterion of the family of Euler-Halley type methods for the vector fields on Riemannian manifolds whose covariant derivatives satisfy the γ-condition is established. The corresponding results due to [12] are extended. An application to analytic vector fields is provided.

Observational data for dusty comets are summarized and systemized. The dependence of the linear polarization on various parameters (the phase angle, wavelength, etc.) is analyzed. An ensemble of aligned spheroidal particles having various sizes and chemical compositions is used to fit the linear and circular polarization observed for the comet Halley.

Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract Introduction Conclusions References Tables Figures Back Close Full Screen / Esc Abstract The Royal Society expedition to Antarctica established a base at Halley Bay, in support of the International Geophysical Year of 1957–1958. Surface ozone was measured during 1958 only, using a prototype Brewer-Mast sond...