Results 31 to 40 of about 6,928,094 (298)
Granular convergence as an iterated local map
11 pages, 10 ...
Anna Movsheva, Thomas A. Witten
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Estimating the Local Radius of Convergence for Picard Iteration
In this paper, we propose an algorithm to estimate the radius of convergence for the Picard iteration in the setting of a real Hilbert space. Numerical experiments show that the proposed algorithm provides convergence balls close to or even identical to ...
Ştefan Măruşter
doaj +1 more source
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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In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K. +2 more
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On the Local Convergence of an Eighth-order Method for Solving Nonlinear Equations
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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Extended Convergence of Two Multi-Step Iterative Methods
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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A convergence proof for local mode filtering
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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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
wiley +1 more source
Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems
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
doaj +1 more source
Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
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
wiley +1 more source

