Results 41 to 50 of about 6,698,594 (332)
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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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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On convergence of the maximum block improvement method [PDF]
. The MBI (maximum block improvement) method is a greedy approach to solving optimization problems where the decision variables can be grouped into a finite number of blocks. Assuming that optimizing over one block of variables while fixing all others is
Shuzhong Zhang +5 more
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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
doaj +1 more source
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
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
Local convergence comparison between two novel sixth order methods for solving equations
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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