A pseudo Laguerre method
Aaron Melman (2011)
Matematički Vesnik
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Displaying similar documents to “Fractional double Newton step properties for polynomials with all real zeros”
A pseudo Laguerre method
Invariants of singularities of polynomials in two complex variables and the Newton diagrams.
Masternak, Mateusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On -iterative methods for solving equations and systems.
Rajković, Predrag M., Stanković, Miomir S., Marinković, Slađana D. (2003)
Novi Sad Journal of Mathematics
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Laguerre-like methods with corrections for the inclusion of polynomial zeros.
Petković, Miodrag S., Milošević, Dušan M. (2004)
Novi Sad Journal of Mathematics
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Local convergence analysis of inexact Newton-like methods.
Argyros, Ioannis K., Hilout, Said (2009)
The Journal of Nonlinear Sciences and its Applications
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On multipoint iterative processes of efficiency index higher than Newton's method.
Argyros, Ioannis K., Hilout, Saïd (2009)
The Journal of Nonlinear Sciences and its Applications
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Local convergence analysis for a certain class of inexact methods.
Argyros, Ioannis K., Hilout, Saäid (2008)
The Journal of Nonlinear Sciences and its Applications
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Indices of 1-forms and Newton polyhedra.
Alexander Esterov (2005)
Revista Matemática Complutense
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A formula of Matsuo Oka (1990) expresses the Milnor number of a germ of a complex analytic map with a generic principal part in terms of the Newton polyhedra of the components of the map. In this paper this formula is generalized to the case of the index of a 1-form on a local complete intersection singularity (Theorem 1.10, Corollaries 1.11, 4.1). In particular, the Newton polyhedron of a 1-form is defined (Definition 1.6). This also simplifies the Oka formula in some particular cases...
Newton's methods from a geometric point of view.
F. Presas (2001)
Extracta Mathematicae
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Generic Newton polygons of Ekedahl-Oort strata: Oort’s conjecture
Shushi Harashita (2010)
Annales de l’institut Fourier
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We study the moduli space of principally polarized abelian varieties in positive characteristic. In this paper we determine the Newton polygon of any generic point of each Ekedahl-Oort stratum, by proving Oort’s conjecture on intersections of Newton polygon strata and Ekedahl-Oort strata. This result tells us a combinatorial algorithm determining the optimal upper bound of the Newton polygons of principally polarized abelian varieties with a given isomorphism type of -kernel. ...
On the improved family of simultaneous methods for the inclusion of multiple polynomial zeros.
Milošević, Dušan M., Petković, Ljiljana D. (2005)
Novi Sad Journal of Mathematics
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