The theory and applications of Iteration Methods is a very fast-develo** 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 …

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

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 propose several approximate Gauss–Newton methods, ie, the truncated, perturbed, and
truncated-perturbed GN methods, for solving underdetermined nonlinear least squares …

This paper presents a state estimation method for power systems when not all state
variables are observable with phasor measurement units (PMU), namely, incomplete PMU …

The present paper is concerned with the convergence problem of Newton's method to solve
singular systems of equations with constant rank derivatives. Under the hypothesis that the …

The notions of Lipschitz conditions with L average are introduced to the study of
convergence analysis of Gauss–Newton's method for singular systems of equations. Unified …

An extension of the Gauss-Newton algorithm is proposed to find local minimizers of
penalized nonlinear least squares problems, under generalized Lipschitz assumptions …

We introduce in the present paper a Gauss–Newton-type method for solving generalized
equations defined by sums of differentiable map**s and set-valued map**s in Banach …