Displaying similar documents to “Newton's method in the context of gradients.”

Note on the Newton number.

Gwoździewicz, Janusz (2008)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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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...

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...