Articulo Revista Indexada
Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems
Autor
Amat, Sergio
Argyros, Ioannis K
Magreñán, Á. Alberto (1)
Institución
Resumen
We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than in earlier studies such us [10, 11, 13, 14, 18]. Special cases and numerical examples are also included in this study.