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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Uko, Livinus U., Velásquez Ossa, Raúl Eduardo (2001)
Revista Colombiana de Matemáticas
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Aaron Melman (2011)
Matematički Vesnik
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Karatson, Janos, Neuberger, John W. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gwoździewicz, Janusz (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Rajković, Predrag M., Stanković, Miomir S., Marinković, Slađana D. (2003)
Novi Sad Journal of Mathematics
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F. Presas (2001)
Extracta Mathematicae
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Jordi Guàrdia, Jesús Montes, Enric Nart (2011)
Journal de Théorie des Nombres de Bordeaux
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We present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a -adic factorization method based on Newton polygons of higher order. The running-time and memory requirements of the algorithm appear to be very good.
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...
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...
Pietrus, Alain (2000)
Revista Colombiana de Matemáticas
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A. Melman (2010)
Matematički Vesnik
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