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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Displaying similar documents to “Continuous Newton method for starlike functions.”
Newton's method in the context of gradients.
Local convergence for the curve tracing of the homotopy method.
Argyros, Ioannis K. (2006)
Revista Colombiana de Matemáticas
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Convergence analysis of a one-step intermediate Newton iterative scheme.
Uko, Livinus U., Velásquez Ossa, Raúl Eduardo (2001)
Revista Colombiana de Matemáticas
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Note on the Newton number.
Gwoździewicz, Janusz (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Newton's methods from a geometric point of view.
F. Presas (2001)
Extracta Mathematicae
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-resolvent estimates and time decay for generalized thermoelastic plate equations.
Denk, Robert, Racke, Reinhard (2006)
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...
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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Characterization of non-degenerate plane curve singularities.
García Barroso, Evelia R., Lenarcik, Andrzej, Płoski, Arkadiusz (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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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.