Newton's methods from a geometric point of view.
F. Presas (2001)
Extracta Mathematicae
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F. Presas (2001)
Extracta Mathematicae
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García Barroso, Evelia R., Lenarcik, Andrzej, Płoski, Arkadiusz (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Uko, Livinus U., Velásquez Ossa, Raúl Eduardo (2001)
Revista Colombiana de Matemáticas
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Argyros, Ioannis K., Hilout, Said (2009)
The Journal of Nonlinear Sciences and its Applications
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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...
Gwoździewicz, Janusz (2008)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Argyros, Ioannis K., Hilout, Saäid (2008)
The Journal of Nonlinear Sciences and its Applications
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Pietrus, Alain (2000)
Revista Colombiana de Matemáticas
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Argyros, Ioannis K., Hilout, Saïd (2009)
The Journal of Nonlinear Sciences and its Applications
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Masternak, Mateusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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A. Melman (2010)
Matematički Vesnik
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Rajković, Predrag M., Stanković, Miomir S., Marinković, Slađana D. (2003)
Novi Sad Journal of Mathematics
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