Results 11 to 20 of about 8,180,306 (262)
Semi-Local Convergence of a Seventh Order Method with One Parameter for Solving Non-Linear Equations
Foundations, 2022 The semi-local convergence is presented for a one parameter seventh order method to obtain solutions of Banach space valued nonlinear models. Existing works utilized hypotheses up to the eighth derivative to prove the local convergence.
Christopher I. Argyros +4 more
doaj +4 more sources
Mathematics, 2022 There are a plethora of semi-local convergence results for Newton’s method (NM). These results rely on the Newton–Kantorovich criterion. However, this condition may not be satisfied even in the case of scalar equations.
Samundra Regmi +3 more
doaj +5 more sources
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 ...
Stepán Shakhno +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
exaly +3 more sources
On the Semi-Local Convergence of a Jarratt-Type Family Schemes for Solving Equations [PDF]
Foundations, 2022 We study semi-local convergence of two-step Jarratt-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 to majorizing scalar sequences and our technique of recurrent functions. Finally, the
Stepán Shakhno +2 more
exaly +3 more sources
Foundations, 2022 We propose the semi-local convergence of two derivative-free, competing methods of order six to address non-linear equations. The sufficient convergence criteria are the same, making a direct comparison between them possible.
Ioannis K. Argyros +3 more
doaj +4 more sources
SEMI-LOCAL CONVERGENCE OF A DERIVATIVE-FREEMETHOD FOR SOLVING EQUATIONS
Проблемы анализа, 2021 We present the semi-local convergence analysis of atwo-step derivative-free method for solving Banach space valuedequations. The convergence criteria are based only on the firstderivative and our idea of recurrent functions.
Gus Argyros +3 more
doaj +3 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
On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space
Algorithms, 2022 A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods.
Ioannis K. Argyros +3 more
doaj +3 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.
Santhosh George +2 more
exaly +2 more sources