Results 31 to 40 of about 220,118 (258)
Annales Mathematicae Silesianae, 2019 We present a local convergence analysis of the super-Halley-like method in order to approximate a locally unique solution of an equation in a Banach space setting.
Argyros Ioannis K., George Santhosh
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Extended Convergence of Two Multi-Step Iterative Methods
Foundations, 2023 Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of
Samundra Regmi +3 more
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On the Local Convergence of an Eighth-order Method for Solving Nonlinear Equations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 We present a local convergence analysis of an eighth-order method for approximating a locally unique solution of a non-linear equation. Earlier studies such as have shown convergence of these methods under hypotheses up to the seventh derivative of the ...
Argyros Ioannis K. +2 more
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A convergence proof for local mode filtering
ICT Express, 2021 In this paper, we present a convergence proof for an iterative procedure of local mode filtering. We formulate the local mode filtering as a quadratic optimization problem based on the Legendre transform of convex function, from which two closed-form expressions at each iteration step are derived for variables to be optimized.
Shuoyan Zhang, Kohei Inoue, Kenji Hara
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter ...
Argyros Ioannis K. +2 more
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Local convergence comparison between two novel sixth order methods for solving equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators.
Ioannis K. Argyros, Santhosh George
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Local Convergence for Multi-Step High Order Solvers under Weak Conditions
Mathematics, 2020 Our aim in this article is to suggest an extended local convergence study for a class of multi-step solvers for nonlinear equations valued in a Banach space.
Ramandeep Behl, Ioannis K. Argyros
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
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Fractal and FractionalIn this paper, a Newton-type iterative scheme for solving nonlinear systems is designed. In the process of proving the convergence order, we use the higher derivatives of the function and show that the convergence order of this iterative method is six ...
Xiaofeng Wang, Wenshuo Li
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