Results 11 to 20 of about 27,469 (211)
Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 In the present paper, we consider a construction proposed in Xiao and Yin (2016) to improve the order of convergence of the method from p to p + 2m under weaker assumptions.
Argyros Ioannis K. +2 more
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Stress-driven Approach to Vibrational Analysis of FGM Annular Nano-plate based on First-order Shear Deformation Plate Theory [PDF]
Journal of Applied and Computational Mechanics, 2023 Vibrational behavior of small-scale functionally graded annular plate based on the first-order shear deformation theory, and non-local stress-driven model is investigated.
Mojtaba Shariati +2 more
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On the local convergence of the Modified Newton method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 The aim of this paper is to investigate the local convergence of the Modified Newton method, i.e. the classical Newton method in which the first derivative is re-evaluated periodically after m steps. The convergence order is shown to be m + 1.
Măruşter Ştefan
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Local Convergence of Exquerro-Hernandez Method
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
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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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Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space.
Argyros Ioannis K., George Santhosh
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A nonmonotone trust-region-approach with nonmonotone adaptive radius for solving nonlinear systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 This paper presents a trust-region procedure for solving systems of nonlinear equations. The proposed approach takes advantages of an effective adaptive trust-region radius and a nonmonotone strategy by combining both of them appropriately.
Keyvan Amini +2 more
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Results in Control and Optimization, 2023 Distributed algorithms to solve linear equations in multi-agent networks have attracted great research attention and many iteration-based distributed algorithms have been developed. The convergence speed is a crucial factor of distributed algorithms, and
Haodi Ping +5 more
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Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions
Mathematics, 2019 We provide a ball comparison between some 4-order methods to solve nonlinear equations involving Banach space valued operators. We only use hypotheses on the first derivative, as compared to the earlier works where they considered conditions reaching up ...
Ioannis K. Argyros, Ramandeep Behl
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