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Newton's method and Baker domains
We show that there exists an entire function f without zeros for which the associated Newton function N(z)=z-f(z)/f'(z) is a transcendental meromorphic functions without Baker domains.
Bergweiler W. +6 more
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Newton's method in Riemannian manifolds
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
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Newton's Method for Solving Hilfer Fractional Volterra-Fredholm Integro Differential Equations [PDF]
In this paper, we apply Newton's method to solve a class of integro-differential equations of the Volterra-Fredholm type with nonlocal characteristics, involving almost sectorial operators and Hilfer fractional derivatives.
karim Ivaz, Ismael Alassadi
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High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension [PDF]
The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other areas.
Aubry +32 more
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POST-PEAK RESPONSE AUTOMATIC SOLUTIONS IN STRUCTURAL ENGINEERING PROBLEMS – A REVIEW
The ill-condition of stiffness matrix at the unstable region for example at the strain-softening region, the load control method will not be valid to give the solution therefore the displacement control method is essential to use. The stiffness matrix is
Husain K. Jarallah
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On Newton's Method for Entire Functions
The Newton map N_f of an entire function f turns the roots of f into attracting fixed points. Let U be the immediate attracting basin for such a fixed point of N_f. We study the behavior of N_f in a component V of C\U.
Rueckert, Johannes, Schleicher, Dierk
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A Practical, Robust and Fast Method for Location Localization in Range-Based Systems
Location localization technology is used in a number of industrial and civil applications. Real time location localization accuracy is highly dependent on the quality of the distance measurements and efficiency of solving the localization equations.
Shiping Huang, Zhifeng Wu, Anil Misra
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Student’s concept ability of Newton’s law based on verbal and visual test
Newton’s law is a foundamental concept that needs to be studied and understood correctly. Concept presentation in different representation will help the student to understand the concept that being learned.
N. D. Setyani +3 more
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Chaplygin's method is Newton's method
This method has been extended to ordinary differential equations in [w” by Lusin [6], to ordinary differential equations in Banach spaces by Mlak [8] and to parabolic equations by Mlak [7] and Szarki [15, Sect. 661. In each case a different type of hypotheses is assumed. A formal generalization considered by Wazewski [18] has been found by Schelkunoff [
openaire +3 more sources
On the fractal characteristics of a stabilised Newton method [PDF]
In this report, we present a complete theory for the fractal that is obtained when applying Newton's Method to find the roots of a complex cubic. We show that a modified Newton's Method improves convergence and does not yield a fractal, but basins of ...
Bracher, C. +2 more
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