Results 51 to 60 of about 39,786 (175)
Finite Basin's Area Fractal via Complex Newton's Method [PDF]
Kirkuk Journal of Science, 2018 In this study, we explain that when we applied Newton’s method on , the basins of roots have finite area when , where and . Using MATLAB we obtained nice fractals in order to prove the finite basins area when .
Zainab Weli Murad
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, 2017 A moving mesh finite element method is studied for the numerical solution of a phase-field model for brittle fracture. The moving mesh partial differential equation approach is employed to dynamically track crack propagation. Meanwhile, the decomposition
Huang, Weizhang +3 more
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A geometric Newton method for Oja's vector field
, 2008 Newton's method for solving the matrix equation $F(X)\equiv AX-XX^TAX=0$ runs up against the fact that its zeros are not isolated. This is due to a symmetry of $F$ by the action of the orthogonal group.
Absil P.-A. +15 more
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International Journal of Mathematics and Mathematical Sciences, 2011 One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper.
Sanjeev Kumar +3 more
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Energies, 2017 The resistivity of oil impregnated paper will decrease during its aging process. This paper takes paper resistivity as an assessment index to evaluate the insulation condition of oil impregnated paper in power transformer.
Jiangjun Ruan +8 more
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Modified Quaternion Newton Methods [PDF]
, 2014 We revisit the quaternion Newton method for computing roots of a class of quaternion valued functions and propose modified algorithms for finding multiple roots of simple polynomials. We illustrate the performance of these new methods by presenting several numerical experiments.
Falcão, M. I., Miranda, Fernando
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Newton’s Method for Convex Operators and Applications
International Journal of Analysis and Applications, 2013 This review work presents the general statement of a variant of Newton’s method for convex monotone operators and its applications. We consider the estimation of the absolute error too. One makes the connection to the contraction principle.
Octav Olteanu
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, 2018 The center Lipschitz condition is used in this chapter, together with the Lipschitz condition, in order to obtain weaker convergence criteria to ensure the convergence pf Newton's method. Numerical examples and applications validating the theoretical results are also presented.
Magreñán, Á. Alberto (1) +1 more
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Convergence of Newton's method for a single real equation [PDF]
Newton's method for finding the zeroes of a single real function is investigated in some detail. Convergence is generally checked using the Contraction Mapping Theorem which yields sufficient but not necessary conditions for convergence of the general ...
Campbell, C. W.
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Stability Analysis of Jacobian-Free Newton’s Iterative Method
Algorithms, 2019 It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial estimations.
Abdolreza Amiri +3 more
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