• Improved local convergence analysis of the Gauss-Newton method under a majorant condition 

      Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Computational Optimization and Applications, 03/2015)
      We present a local convergence analysis of Gauss-Newton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97-118, 2008), ...
    • Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems 

      Amat, Sergio; Argyros, Ioannis K; Magreñán, Á. Alberto (1) (Journal of the Korean Mathematical Society, 09/2014)
      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 ...