Distribution system state estimation (DSSE) is a core task for monitoring and control of
distribution networks. Widely used algorithms such as Gauss-Newton perform poorly with …

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 …

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 …

We consider the extended Newton method for approaching a Pareto optimum of a
multiobjective optimization problem, establish quadratic convergence criteria, and estimate …

In this paper we consider a version of the Kantorovich's theorem for solving the generalized
equation F (x)+ T (x)∋ 0, where F is a Fréchet derivative function and T is a set-valued and …

A plethora of applications from diverse disciplines reduce to solving generalized equations
involving Banach space valued operators. These equations are solved mostly iteratively …

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 …

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 …

A local convergence analysis of Newton's method for finding a singularity of a differentiable
vector field defined on a complete Riemannian manifold, based on the majorant principle, is …