Postdoctoral thesis & other thesis (Dissertations and theses)
On the geometry of Householder’s and Halley’s methods
Palmirotta, Guendalina
2015
 

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Abstract :
[en] In this paper, some modified Newton’s methods for solving nonlinear equations are proposed. Householder and Halley have suggested a variant of New- ton’s method in which they take an osculating parabola respectively an hyperbola instead of the tangent line. The proposed methods go faster to approximated solution, but it requires more calculation efforts. The order of convergence of both methods is three. By some interesting numerical problems, the theoretical results are illustrated. In the appendix, we give a foretaste of the proposed methods in the complex plane.
Disciplines :
Mathematics
Author, co-author :
Palmirotta, Guendalina  ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Language :
English
Title :
On the geometry of Householder’s and Halley’s methods
Defense date :
December 2015
Institution :
Unilu - University of Luxembourg, Luxembourg
Degree :
Project
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since 21 July 2021

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