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20132018
most citedLocal convergence analysis of Newton's method for solving strongly regular generalized equations

1 citations

5 papers

hep-ph2018

Low energy constituent quark and pion effective couplings to external electromagnetic field and a weak magnetic field

Fábio L. Braghin

In this work, a compilation of effective electromagnetic field couplings to pions and constituent quarks and their effective interactions derived previously, including corrections…

math.NA2016★ 1 cited

Kantorovich's theorem on Newton's method for solving strongly regular generalized equation

O. P. Ferreira, G. N. Silva

In this paper we consider the Newton's method for solving the generalized equation of the form where is a continuously differentiable mapping, …

math.NA2016★ 1 cited

Local convergence analysis of Newton's method for solving strongly regular generalized equations

O. P. Ferreira, G. N. Silva

In this paper we study Newton's method for solving generalized equations in Banach spaces. We show that under strong regularity of the generalized equation, the method is locally c…

math.NA2014

A robust semi-local convergence analysis of Newton's method for cone inclusion problems in Banach spaces under affine invariant majorant condition

Orizon P Ferreira

A semi-local analysis of Newton's method for solving nonlinear inclusion problems in Banach space is presented in this paper. Under a affine majorant condition on the nonlinear fun…

math.NA2013

Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian Manifolds

T. Bittencourt, O. P. Ferreira

A local convergence analysis of Inexact Newton's method with relative residual error tolerance for finding a singularity of a differentiable vector field defined on a complete Riem…