TY - JOUR AU - Cătinaş, Emil PY - 2000/08/01 Y2 - 2024/03/29 TI - A note on the quadratic convergence of the inexact Newton methods JF - Rev. Anal. Numér. Théor. Approx. JA - Rev. Anal. Numér. Théor. Approx. VL - 29 IS - 2 SE - Articles DO - 10.33993/jnaat292-662 UR - https://ictp.acad.ro/jnaat/journal/article/view/2000-vol29-no2-art2 SP - 129-133 AB - <p>We show that a new sufficient condition for the convergence&nbsp;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&nbsp;on perturbed Newton methods.<br>This condition is in fact equivalent to the characterization given by Dembo,&nbsp;Eisenstat and Steihaug.</p> ER -