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 …

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 …

Under the hypothesis that an initial point is a quasi-regular point, we use a majorant
condition to present a new semilocal convergence analysis of an extension of the Gauss …

Soft sensor technology is an important means to estimate important process variables in real-
time. Modeling for soft sensor system is the core of this technology. Most nonlinear dynamic …

In this paper, we study the Gauss–Newton method for a special class of systems of non-
linear equation. On the hypothesis that the derivative of the function under consideration …

We present a local convergence analysis of the proximal Gauss–Newton method for solving
penalized nonlinear least squares problems in a Hilbert space setting. Using more precise …

A local convergence analysis of the Gauss–Newton method for solving injective-
overdetermined systems of nonlinear equations under a majorant condition is provided. The …

Data-driven soft sensor is an effective solution to provide rapid and reliable estimations for
key quality variables online. The secondary variables affect the primary variable in …

In this paper, we study Newton's method for solving the generalized equation F (x)+ T (x)∋ 0
in Hilbert spaces, where F is a Fréchet differentiable function and T is set-valued and …

In this paper, inexact Gauss-Newton like methods for solving injective-overdetermined
systems of equations are studied. We use a majorant condition, defined by a function whose …