Estimating upper bounds on the limit points of majorizing sequences for Newton's method
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Publication:1938083
DOI10.1007/s11075-012-9570-1zbMath1259.65080OpenAlexW2041214570MaRDI QIDQ1938083
Ioannis K. Argyros, Saïd Hilout
Publication date: 1 February 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9570-1
Newton's methodnumerical examplessemilocal convergenceBanach spacenonlinear operator equationKantorovich's hypothesislimit point of majorizing sequence
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (6)
On an improved convergence analysis of Newton's method ⋮ On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives ⋮ On the global convergence of an inexact quasi-Newton conditional gradient method for constrained nonlinear systems ⋮ Enlarging the convergence domain of secant-like methods for equations ⋮ Majorizing sequences for Newton's method under centred conditions for the derivative ⋮ On the convergence of efficient King-Werner-type methods of order \(1 + \sqrt{2}\)
Uses Software
Cites Work
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