Results 21 to 30 of about 1,784,243 (270)
Local convergence of a fifth convergence order method in Banach space
Arab Journal of Mathematical Sciences, 2017 We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative ...
Ioannis K. Argyros, Santhosh George
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Localized orthogonal decomposition method for the wave equation with a continuum of scales [PDF]
, 2014 This paper is devoted to numerical approximations for the wave equation with a multiscale character. Our approach is formulated in the framework of the Localized Orthogonal Decomposition (LOD) interpreted as a numerical homogenization with an $L^2 ...
Abdulle, Assyr, Henning, Patrick
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Foundations, 2023 We carried out a local comparison between two ninth convergence order schemes for solving nonlinear equations, relying on first-order Fréchet derivatives.
Ioannis K. Argyros +2 more
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On unbounded order convergence of operator nets
International Mathematical Forum, 2023 In this study, we investigate uo-convergence of nets of positive continuousoperators defined on the topological dual of a completely regularHausdorff topological space. Firstly, we make the definition of uoconvergenceon this class and then we present some characterizations ofit.
Demir, Elif, Aydoğan, Ebru
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Comparison of two types of order convergence with topological convergence in an ordered topological vector space [PDF]
Proceedings of the American Mathematical Society, 1977 Birkhoff and Peressini proved that if ( X , T ) (X,\mathcal {T}) is a complete metrizable topological vector lattice, a sequence converges for the topology T \mathcal {T} iff the sequence relatively uniformly star converges.
May, Roger W., McArthur, Charles W.
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Higher order convergence rates for Bregman iterated variational regularization of inverse problems
, 2018 We study the convergence of variationally regularized solutions to linear ill-posed operator equations in Banach spaces as the noise in the right hand side tends to $0$.
Hohage, Thorsten, Sprung, Benjamin
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On the convergence of second order spectra and multiplicity
, 2010 Let A be a self-adjoint operator acting on a Hilbert space. The notion of second order spectrum of A relative to a given finite-dimensional subspace L has been studied recently in connection with the phenomenon of spectral pollution in the Galerkin ...
Abramowitz M. +3 more
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Higher Order of Convergence with Multivalued Contraction Mappings
Journal of Mathematics, 2020 In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence.
Jia-Bao Liu +4 more
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Statistical Convergence of Double Sequences of Order
Journal of Function Spaces and Applications, 2013 We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order
R. Çolak, Y. Altin
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Order of Convergence and Dynamics of Newton–Gauss-Type Methods
Fractal and Fractional, 2023 On the basis of the new iterative technique designed by Zhongli Liu in 2016 with convergence orders of three and five, an extension to order six can be found in this paper. The study of high-convergence-order iterative methods under weak conditions is of
Ramya Sadananda +3 more
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