Note on the Newton number.
Gwoździewicz, Janusz (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Displaying similar documents to “Convergence analysis of a one-step intermediate Newton iterative scheme.”
Note on the Newton number.
Newton's method in the context of gradients.
Karatson, Janos, Neuberger, John W. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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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Does Newton's method for set-valued maps converges uniformly in mild differentiability context?
Pietrus, Alain (2000)
Revista Colombiana de Matemáticas
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A pseudo Laguerre method
Aaron Melman (2011)
Matematički Vesnik
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Local convergence for the curve tracing of the homotopy method.
Argyros, Ioannis K. (2006)
Revista Colombiana de Matemáticas
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Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations
Rubeša, Jelena, Kunisch, Karl (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: 49J15, 49M15 The control problem of minimal time transition between two stationary points are formulated in a framework of an indirect numerical method. The problem is regularized and the monotone behavior of the regularisation procedure is investigated. Semi-smooth Newton method applied on the regularized problems converge superlinearly and usually produce a very accurate solution. Differently from other methods, this one does not need a-priory knowledge...
An inexact Newton hybrid path-following algorithm for nonlinear programming.
Argáez, Miguel, Hernández, Jaime jun., Velázquez, Leticia (2007)
Revista Colombiana de Matemáticas
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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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Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility
Evelia R. García Barroso, Janusz Gwoździewicz (2010)
Annales de l’institut Fourier
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In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.