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Majorizing sequences for iterative methods
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros, Said Hilout
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Majorizing sequences for iterative procedures in Banach spaces
Journal of Complexity, 2012 The article deals with Newton-like approximations \[ x_{n+1} = x_n - A(x_n)^{-1}(F(x_n) + G(x_n)), \quad n = 0,1,2,\ldots,\tag{1} \] to a nonlinear operator equation \[ F(x) + G(x) = 0 \] with a Fréchet differentiable operator \(F\) and a continuous operator \(G\); here \(A(x)\) are linear operators with the invertible \(A(x_0)\).
Ioannis K Argyros, Said Hilout
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Majorizing Sequences and Error Bounds for Iterative Methods [PDF]
Mathematics of Computation, 1980 Given a sequence { x n } n = 0 ∞ \{ {x_n}\} _{n = 0}^\infty in a Banach space, it is well known that if there is a sequence { t n
George J. Miel
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Upward-closed hereditary families in the dominance order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The majorization relation orders the degree sequences of simple graphs into posets called dominance orders. As shown by Ruch and Gutman (1979) and Merris (2002), the degree sequences of threshold and split graphs form upward-closed sets within the ...
Michael D. Barrus, Jean A. Guillaume
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Majorizing sequences and approximation
Arkiv for Matematik, 1976 Gardner, R. J., Hawkes, J.
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On the convergence of Kurchatov-type methods using recurrent functions for solving equations
Математичні Студії, 2022 We study a local and semi-local convergence of Kurchatov's method and its two-step modification for solving nonlinear equations under the classical Lipschitz conditions for the first-order divided differences. To develop a convergence analysis we use the
I. K. Argyros, S. Shakhno, H. Yarmola
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On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations
European Journal of Mathematical Analysis, 2022 The semi-local convergence analysis of a third order scheme for solving nonlinear equation in Banach space has not been given under Lipschitz continuity or other conditions.
Samundra Regmi +3 more
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DNA Sequence Is a Major Determinant of Tetrasome Dynamics [PDF]
Biophysical Journal, 2019 ABSTRACT Eukaryotic genomes are hierarchically organized into protein-DNA assemblies for compaction into the nucleus. Nucleosomes, with the (H3-H4) 2 tetrasome as a likely intermediate, are highly dynamic in nature by way of several different mechanisms.
Ordu, O., Lusser, A., Dekker, N. H.
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Super-Halley method under majorant conditions in Banach spaces
Cubo, 2020 In this paper, we have studied local convergence of Super-Halley method in Banach spaces under the assumption of second order majorant conditions. This approach allows us to obtain generalization of earlier convergence analysis under majorizing sequences.
Shwet Nisha, P. K. Parida
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Extended Newton-like Midpoint Method for Solving Equations in Banach Space
Foundations, 2023 In this study, we present a convergence analysis of a Newton-like midpoint method for solving nonlinear equations in a Banach space setting. The semilocal convergence is analyzed in two different ways.
Ioannis K. Argyros +2 more
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