Results 1 to 10 of about 312,475 (283)
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
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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
Ioannis K Argyros +2 more
exaly +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
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On the semi-local convergence of a sixth order method in Banach space
Journal of Numerical Analysis and Approximation Theory, 2022 High convergence order methods are important in computational mathematics, since they generate sequences converging to a solution of a non-linear equation.
Ioannis K Argyros +2 more
doaj +5 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 +5 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
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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
Unified Semi-Local Convergence for k—Step Iterative Methods with Flexible and Frozen Linear Operator [PDF]
Mathematics, 2018 The aim of this article is to present a unified semi-local convergence analysis for a k-step iterative method containing the inverse of a flexible and frozen linear operator for Banach space valued operators. Special choices of the linear operator reduce the method to the Newton-type, Newton’s, or Stirling’s, or Steffensen’s, or other methods.
Ioannis K Argyros +2 more
exaly +5 more sources
A robust semi-local convergence analysis of Newton’s method for cone inclusion problems in Banach spaces under affine invariant majorant condition [PDF]
Journal of Computational and Applied Mathematics, 2015 A semi-local analysis of Newton's method for solving nonlinear inclusion problems in Banach space is presented in this paper. Under a affine majorant condition on the nonlinear function which is associated to the inclusion problem, the robust convergence of the method and results on the convergence rate are established.
O P Ferreira
exaly +5 more sources
Improved semi-local convergence of the Newton-HSS method for solving large systems of equations
Applied Mathematics Letters, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros +2 more
exaly +3 more sources