A note on the quadratic convergence of the inexact Newton methods


  • Emil Cătinaş Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania




nonlinear systems of equations in \(R^n\), inexact Newton methods, inexact and perturbed Newton methods, convergence orders, backward errors
Abstract views: 223


We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newton iterates may be obtained by considering the normwise backward error of the approximate steps and a result on perturbed Newton methods.
This condition is in fact equivalent to the characterization given by Dembo, Eisenstat and Steihaug.


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How to Cite

Cătinaş, E. (2000). A note on the quadratic convergence of the inexact Newton methods. Rev. Anal. Numér. Théor. Approx., 29(2), 129–133. https://doi.org/10.33993/jnaat292-662