Fractal Newton basins.
Sahari, M.L., Djellit, I. (2006)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Three dimensional modelling of the peach in MAPLE”
Fractal Newton basins.
A majorant principle for multipoint iterations without memory
J. Trojan (1980)
Applicationes Mathematicae
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Newton's method for solutions of quasi-Bessel differential equations.
Jankowski, Marcus (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Newton methods for solving two classes of nonsmooth equations
Yan Gao (2001)
Applications of Mathematics
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The paper is devoted to two systems of nonsmooth equations. One is the system of equations of max-type functions and the other is the system of equations of smooth compositions of max-type functions. The Newton and approximate Newton methods for these two systems are proposed. The Q-superlinear convergence of the Newton methods and the Q-linear convergence of the approximate Newton methods are established. The present methods can be more easily implemented than the previous ones, since...
On the truncated-Newton approach for the hydropower generation management.
Laureano F. Escudero (1983)
Qüestiió
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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.
Applications of a special representation of analytic functions.
Argyros, I.K., Mahrt, L.F., Szidarovszky, F. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Analytical View of Sir Isaac Newton's Principia
Henry Brougham, Edward John Routh
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A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses
Ioannis K. Argyros (2005)
Applicationes Mathematicae
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The Newton-Kantorovich approach and the majorant principle are used to provide new local and semilocal convergence results for Newton-like methods using outer or generalized inverses in a Banach space setting. Using the same conditions as before, we provide more precise information on the location of the solution and on the error bounds on the distances involved. Moreover since our Newton-Kantorovich-type hypothesis is weaker than before, we can cover cases where the original Newton-Kantorovich...
On Newton-like Iteration Functions: General Convergence Theorems and a Specific Algorithm.
K.M. BROWN, J.E. JR. DENNIS (1968)
Numerische Mathematik
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Newton's iteration with a conjugate gradient based decomposition method for an elliptic PDE with a nonlinear boundary condition
Jonas Koko (2004)
International Journal of Applied Mathematics and Computer Science
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Newton's iteration is studied for the numerical solution of an elliptic PDE with nonlinear boundary conditions. At each iteration of Newton's method, a conjugate gradient based decomposition method is applied to the matrix of the linearized system. The decomposition is such that all the remaining linear systems have the same constant matrix. Numerical results confirm the savings with respect to the computational cost, compared with the classical Newton method with factorization at each...