The theory and applications of Iteration Methods is a very fast-developing field of numerical
analysis and computer methods. The second edition is completely updated and continues to …

Let T: D⊂ X→ X be an iteration function in a complete metric space X. In this paper we
present some new general complete convergence theorems for the Picard iteration xn+ 1 …

This book introduces advanced numerical-functional analysis to beginning computer
science researchers. The reader is assumed to have had basic courses in numerical …

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

Despite that most of power systems can be categorized as well-conditioned, ill-conditioned
cases are becoming more frequent. Consequently, developing new robust LF techniques is …

In this paper, we consider convex composite optimization problems on Riemannian
manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi …

The Gauss–Newton method for solving nonlinear least squares problems is studied in this
paper. Under the hypothesis that the derivative of the function associated with the least …

A local convergence analysis of Newton's method for solving nonlinear equations, based on
Kantorovich's majorant principle, is presented in this paper. This analysis provides a clear …

In this paper, we consider the problem of solving constrained systems of nonlinear
equations. We propose an algorithm based on a combination of Newton and conditional …

We provide a local convergence analysis for Newton's method under a weak majorant
condition in a Banach space setting. Our results provide under the same information a larger …