Results 21 to 30 of about 436,998 (271)
Extending the Local Convergence of a Seventh Convergence Order Method without Derivatives
Foundations, 2022 For the purpose of obtaining solutions to Banach-space-valued nonlinear models, we offer a new extended analysis of the local convergence result for a seventh-order iterative approach without derivatives.
I. Argyros +3 more
semanticscholar +1 more source
Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence
Journal of Numerical Analysis and Approximation Theory, 2021 We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used.
Ioannis K. Argyros, Santhosh George
doaj +7 more sources
On the local convergence of higher order methods in Banach spaces
Fixed Point Theory, 2021 We study the local convergence analysis of two higher-order methods using Hölder continuity condition on the first Fréchet derivative to solve nonlinear equations in Banach spaces. Hölder continuous first derivative is used to extend the applicability of
Debasis Sharma, S. K. Parhi
semanticscholar +1 more source
Fast Distributed Computation of Distances in Networks [PDF]
, 2011 This paper presents a distributed algorithm to simultaneously compute the diameter, radius and node eccentricity in all nodes of a synchronous network. Such topological information may be useful as input to configure other algorithms. Previous approaches
Almeida, Paulo Sérgio +2 more
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Shuffled Frog Leaping Algorithm Driven by Nuclear Center and Its Application [PDF]
Jisuanji kexue yu tansuo, 2022 Aiming at the defects of slow evolution speed and easy to fall into local convergence caused by the inertia provided by the current position of individual frog and the jump step of shuffled frog leaping algorithm (SFLA), a shuffled frog leaping algorithm
LIU Liqun, GU Renyuan
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Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations [PDF]
, 2007 We resolve the local semistable reduction problem for overconvergent F-isocrystals at monomial valuations (Abhyankar valuations of height 1 and residue transcendence degree 0).
Amice +13 more
core +6 more sources
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is ...
Ioannis K. Argyros, Santhosh George
doaj +1 more source
Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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Order-dependent mappings: strong coupling behaviour from weak coupling expansions in non-Hermitian theories [PDF]
, 2010 A long time ago, it has been conjectured that a Hamiltonian with a potential of the form x^2+i v x^3, v real, has a real spectrum. This conjecture has been generalized to a class of so-called PT symmetric Hamiltonians and some proofs have been given ...
Jean Zinn-Justin +2 more
core +4 more sources
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 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
doaj +1 more source