A two-stage Newton-like method for computing simple bifurcation points of nonlinear equations depending on two parameters
Gerd Pönisch (1990)
Banach Center Publications
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Displaying similar documents to “Invertible polynomial mappings via Newton non-degeneracy”
A two-stage Newton-like method for computing simple bifurcation points of nonlinear equations depending on two parameters
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E. Bohl (1980)
Numerische Mathematik
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Elgindi, M.B.M. (1994)
International Journal of Mathematics and Mathematical Sciences
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Nearly irreducibility of polynomials and the Newton diagrams
Mateusz Masternak (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
Analytical View of Sir Isaac Newton's Principia
Henry Brougham, Edward John Routh
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Elgindi, M.B.M., Langer, R.W. (1995)
International Journal of Mathematics and Mathematical Sciences
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A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein...
Implementation of full linearization in semismooth Newton method for 2D contact problem
Foltyn, Ladislav, Vlach, Oldřich
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To solve the contact problems by using a semismooth Newton method, we shall linearize stiffness and mass matrices as well as contact conditions. The latter are prescribed by means of mortar formulation. In this paper we describe implementation details.
Fractal Newton basins.
Sahari, M.L., Djellit, I. (2006)
Discrete Dynamics in Nature and Society
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On the truncated-Newton approach for the hydropower generation management.
Laureano F. Escudero (1983)
Qüestiió
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A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to ...