Results 251 to 260 of about 8,180,306 (262)

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations

Applied Mathematics Letters, 2019
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Santhosh George, Angel Alberto Magreñán, Ioannis K Argyros   +2 more
exaly   +3 more sources

On a two-step optimal Steffensen-type method: Relaxed local and semi-local convergence analysis and dynamical stability

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taher Lotfi
exaly   +2 more sources

Local and semi-local convergence and dynamic analysis of a time-efficient nonlinear technique

Applied Numerical Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evren Hincal, Krzysztof Gdawiec, Sania Qureshi   +2 more
exaly   +2 more sources

Semi-local convergence of a Newton-like method for solving equations with a singular derivative

Creative Mathematics and Informatics, 2018
We present a semi-local convergence analysis for a Newton-like method to approximate solutions of equations when the derivative is not necessarily non-singular in a Banach space setting. In the special case when the equation is defined on the real line the convergence domain is improved for this method when compared to earlier results.
IOANNIS K. ARGYROS, GEORGE SANTHOSH
openaire   +1 more source

Using majorizing sequences for the semi-local convergence of a high-order and multipoint iterative method along with stability analysis

2021
Summary: This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, \(k\)-step Newton's method, using majorizing sequences. Dynamical behavior of the mentioned method is also analyzed via Julia set and basins of attraction.
Lotfi, Taher, Moccari, Mandana
openaire   +2 more sources

Semi-local Convergence of Iterative Procedures and Their Applications in k-Multivariate Fractional Calculus

2016
We provide new semi-local convergence results for general iterative methods in order to approximate a solution of a nonlinear operator equation.
George A. Anastassiou, Ioannis K. Argyros   +1 more
openaire   +1 more source

Semi-Local Convergence of the Lagrange-Newton Method with Application to Optimal Control

1995
This paper investigates semi-local convergence of the Lagrange Newton method for optimization problems in Banach spaces. Explicit estimates for the radius of convergence are derived. The results are applied to optimal control problems and their discretization by the control parameterization Ritz method.
openaire   +1 more source

On the semi-local convergence of the Homeier method in Banach space for solving equations

Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022
Samundra Regmi, Ioannis Konstantinos Argyros, Santhosh George, Christopher Argyros   +3 more
openaire   +1 more source

Semi-Local Convergence of a Derivative Free Method

2021
openaire   +1 more source

On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space

Algorithms, 2023
Stepán Shakhno, Halyna Yarmola, Ioannis K Argyros   +2 more
exaly