Results 11 to 20 of about 334,176 (302)

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order [PDF]

open access: yes, 2015
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting.
George, Santhosh   +2 more
core   +1 more source

On the Solution of Generalized Banach Space Valued Equations

open access: yesMathematics, 2022
We develop a class of Steffensen-like schemes for approximating solution of Banach space valued equations. The sequences generated by these schemes are, converging to the solution under certain hypotheses that are weaker than in earlier studies.
Ramandeep Behl, Ioannis K. Argyros
doaj   +1 more source

Study of a High Order Family: Local Convergence and Dynamics

open access: yesMathematics, 2019
The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a center-Lipschitz condition where the
Cristina Amorós   +5 more
doaj   +1 more source

On the Calculation of the Moore–Penrose and Drazin Inverses: Application to Fractional Calculus

open access: yesMathematics, 2021
This paper presents a third order iterative method for obtaining the Moore–Penrose and Drazin inverses with a computational cost of O(n3), where n∈N. The performance of the new approach is compared with other methods discussed in the literature.
Khosro Sayevand   +3 more
doaj   +1 more source

Convergence order of one regularization method

open access: yesMathematical Modelling and Analysis, 2003
The multiscale solution of the Klein‐Gordon equations in the linear theory of (two‐phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets.
S. Guseinov, I. Volodko
doaj   +1 more source

Convergence and Stability of a New Parametric Class of Iterative Processes for Nonlinear Systems

open access: yesAlgorithms, 2023
In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed class under various smooth conditions
Alicia Cordero   +3 more
doaj   +1 more source

Order convergence and topological convergence [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
In a complete lattice it is possible to define a notion of convergence (for arbitrary nets) known as order convergence (o-convergence) ; for definitions see [l,p.5°]and [3, p. 65]. As a general rule o-convergence is not a topological convergence; i.e., the lattice cannot be topologized so that nets o-converge if and only if they converge with respect ...
openaire   +2 more sources

Convergence Rate for the Ordered Upwind Method [PDF]

open access: yesJournal of Scientific Computing, 2016
The Ordered Upwind Method (OUM) is used to approximate the viscosity solution of the static Hamilton-Jacobi-Bellman (HJB) with direction-dependent weights on unstructured meshes. The method has been previously shown to provide a solution that converges to the exact solution, but no convergence rate has been theoretically proven.
Alex Shum   +2 more
openaire   +4 more sources

Numerical solution of a system of Volterra integral equations in application to the avian human influenza epidemic model [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
We propose an effcient multistage method for solving a system of linear and nonlinear Volterra integral equations of the second kind. This numerical method is based on the Gauss–Legendre quadrature rule that obtains several values of unknown function at ...
R. Katani
doaj   +1 more source

The Coming Multi-Order World [PDF]

open access: yes, 2016
The article shows that the current international system is changing towards a completely new form of international system, conceptualized as a multi-order system. The suggestion for a multi-order world stands in contrast to three current narratives about
Flockhart, Trine
core   +1 more source

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