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 …

We address the solution of constrained nonlinear systems by new linesearch quasi-Newton
methods. These methods are based on a proper use of the projection map onto the convex …

This work presents a variant of an inexact projected Levenberg–Marquardt algorithm for
solving constrained nonsmooth equations. More precisely, we propose a local inexact …

This paper aims to address a new version of Newton's method for solving constrained
generalized equations. This method can be seen as a combination of the classical Newton's …

In this paper, we propose two complementary variants of the projected Levenberg–
Marquardt (LM) algorithm for solving convex constrained nonlinear equations. Since the …

This paper presents a tensor approximation algorithm, based on the Levenberg–Marquardt
method for the nonlinear least square problem, to decompose large-scale tensors into the …

Constrained nonlinear equations (CNEs) are involved in numerous practical applications,
and many solutions to CNEs have been reported. In particular, a special neural network …

This paper introduces an innovative method for multi-objective optimization-based
production planning with a rolling horizon for food manufacturing. It features a combination …

In this paper, a new version of a secant-type method for solving constrained mixed
generalized equations is addressed. The method is a combination of the secant method …

Although it is a very old theme, unconstrained optimization is an area which is always actual
for many scientists. Today, the results of unconstrained optimization are applied in different …