Results 11 to 20 of about 312,475 (283)
On the Semi-Local Convergence of a Fifth-Order Convergent Method for Solving Equations [PDF]
Foundations, 2022 We study the semi-local convergence of a three-step Newton-type method for solving nonlinear equations under the classical Lipschitz conditions for first-order derivatives. To develop a convergence analysis, we use the approach of restricted convergence regions in combination with majorizing scalar sequences and our technique of recurrent functions ...
Ioannis K Argyros +2 more
exaly +3 more sources
On the Semi-Local Convergence of a Noor–Waseem-like Method for Nonlinear Equations
Foundations, 2022 The significant feature of this paper is that the semi-local convergence of high order methods for solving nonlinear equations defined on abstract spaces has not been studied extensively as done for the local convergence by a plethora of authors which is certainly a more interesting case.
Ioannis K Argyros, Argyros Ioannis K
exaly +3 more sources
Local and semi-local convergence analysis of a multi-step method [PDF]
Electronic Journal of MathematicsIoannis K. Argyros +3 more
doaj +3 more sources
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taher Lotfi
exaly +3 more sources
Journal of Numerical Analysis and Approximation Theory, 2018 We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Ioannis K. Argyros +1 more
semanticscholar +6 more sources
On the Semi-Local Convergence of an Ostrowski-Type Method for Solving Equations [PDF]
Symmetry, 2021 Symmetries play a crucial role in the dynamics of physical systems. As an example, microworld and quantum physics problems are modeled on principles of symmetry. These problems are then formulated as equations defined on suitable abstract spaces. Then, these equations can be solved using iterative methods.
Christopher I. Argyros +4 more
openaire +2 more sources
On the Semi-Local Convergence of a Traub-Type Method for Solving Equations [PDF]
Foundations, 2022 The celebrated Traub’s method involving Banach space-defined operators is extended. The main feature in this study involves the determination of a subset of the original domain that also contains the Traub iterates. In the smaller domain, the Lipschitz constants are smaller too.
Samundra Regmi +3 more
openaire +2 more sources
On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations
European Journal of Mathematical Analysis, 2022 The semi-local convergence analysis of a third order scheme for solving nonlinear equation in Banach space has not been given under Lipschitz continuity or other conditions.
Samundra Regmi +3 more
doaj +2 more sources
Semi-local convergence of Cordero's sixth-order method
AIMS Mathematics<abstract><p>In this paper, the semi-local convergence of the Cordero's sixth-order iterative method in Banach space was proved by the method of recursion relation. In the process of proving, the auxiliary sequence and three increasing scalar functions can be derived using Lipschitz conditions on the first-order derivatives.
Xiaofeng Wang, Ning Shang
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A semi-local convergence theorem for a robust revised Newton’s method
Computers & Mathematics with Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhengyu Wang, Xinyuan Wu
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