8 citations · 29 across the 50 of their papers we have counts for
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math.NA2011
A robust Kantorovich's theorem on inexact Newton method with relative residual error tolerance
O. P. Ferreira, B. F. Svaiter
We prove that under semi-local assumptions, the inexact Newton method with a fixed relative residual error tolerance converges Q-linearly to a zero of the non-linear operator under…
math.OC2011
Convergence of the Gauss-Newton method for convex composite optimization under a majorant condition
Orizon Perreira Ferreira, Max Leandro Nobre Gonçalves, Paulo Roberto Oliveira
Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semi-local convergence analysis of an extension of the Gauss-Newto…