Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems
We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting.
Argyros, Ioannis K +7 more
core +2 more sources
Semi-Local Convergence of a Seventh Order Method with One Parameter for Solving Non-Linear Equations
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 +1 more source
Stress-driven Approach to Vibrational Analysis of FGM Annular Nano-plate based on First-order Shear Deformation Plate Theory [PDF]
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
doaj +1 more source
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
doaj +1 more source
A nonmonotone trust-region-approach with nonmonotone adaptive radius for solving nonlinear systems [PDF]
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
doaj +1 more source
Determining radius of convergence of Newton's method using radius of curvature [PDF]
In this paper, we propose a method on how to manage the convergence of Newton’s method if its iteration process encounters a local extremum. This idea establishes the osculating circle at a local extremum. It then uses the radius of the osculating circle
Ridwan Pandiya +3 more
core +1 more source
An Innovative Experimental Study of Corner Radius Effect on Cutting Forces [PDF]
The cutting forces are often modelled using edge discretisation methodology. In finish turning, due to the smaller corner radii, the use of a local cutting force model identified from orthogonal cutting tests poses a significant challenge. In this paper,
BISSEY BRETON, Stéphanie +4 more
core +1 more source
Ball Comparison for Some Efficient Fourth Order Iterative Methods Under Weak Conditions
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
doaj +1 more source
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
doaj +1 more source
Emerging experimental and computational methods for studying redox‐regulated structural transitions
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
wiley +1 more source

