Results 31 to 40 of about 1,528,330 (141)
Estimating the Condition Number of the Fréchet Derivative of a Matrix Function
SIAM Journal on Scientific Computing, 2014 The Frechet derivative $L_f$ of a matrix function $f : \mathbb{C}^{n\times n} \to \mathbb{C}^{n\times n}$ is used in a variety of applications and several algorithms are available for computing it.
N. Higham, Samuel D. Relton
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Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative
Journal of Numerical Analysis and Approximation Theory, 2013 We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
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FRÉCHET-MARINESCU’S DERIVATIVE IN THE MATHEMATICAL MODELING OF DYNAMIC SYSTEMS [PDF]
Fiabilitate şi Durabilitate, 2013 The paper presents an application of the functional analysis, especially of differentialcalculus in linear topological locally convex spaces leading to formulae representing the evolution ofstates in dynamical systems with infinite fading ...
Eufrosina OTLACAN
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Extended Convergence for Two Sixth Order Methods under the Same Weak Conditions
Foundations, 2023 High-convergence order iterative methods play a major role in scientific, computational and engineering mathematics, as they produce sequences that converge and thereby provide solutions to nonlinear equations.
Ioannis K. Argyros +3 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 In this paper we have provided sufficient conditions to study semilocal and local convergence of the Stirling’s method. The method is used to find fixed points of nonlinear operator equation.
Argyros Ioannis K., Parida P.K.
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Non-linear iterative phase retrieval based on Frechet derivative.
Optics Express, 2011 Several methods of phase retrieval for in-line phase tomography have already been investigated based on the linearization of the relation between the phase shift induced by the object and the diffracted intensity.
V. Davidoiu +3 more
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On bifurcation points of strongly condensing operators
Научный вестник МГТУ ГА, 2016 Two conditions equivalent to complete continuity of Frechet derivative at a point and the asymptotic derivative in the case of their existence are given. Theorem of M.A. Krasnosel’skii on asymptotic bifurcation points for completely con-tinuous fields to
N. A. Erzakova
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Al-Mustansiriyah Journal of Science, 2018 In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a ...
Jamil Amir Al-hawasy
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International Journal of Differential Equations, 2020 Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi +3 more
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, 2013 In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in a Banach space setting, where we assume that the second Fréchet-derivative is bounded.
I. Argyros, Y. Cho, H. Ren
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