The trust region method (TRM) is a very important technique to solve both of linear and
nonlinear systems of equations. In this work, a new modified algorithm of a TRM with …

This paper concerns with a new nonmonotone strategy and its application to the line search
approach for unconstrained optimization. It has been believed that nonmonotone techniques …

A numerical optimization technique used to address nonlinear programming problems is the
trust region (TR) method. TR uses a quadratic model, which may represent the function …

In this work, we introduce a novel stochastic second-order method, within the framework of a
non-monotone trust-region approach, for solving the unconstrained, nonlinear, and non …

Monotonicity and nonmonotonicity play a key role in studying the global convergence and
the efficiency of iterative schemes employed in the field of nonlinear optimization, where …

The aim of this text is to highlight recent advances of trust-region-based methods for
nonlinear programming and to put them into perspective. An algorithmic framework provides …

This study presents a new trust-region procedure to solve a system of nonlinear equations in
several variables. The proposed approach combines an effective adaptive trust-region …

Founded upon a sparse estimation of the Hessian obtained by a recent diagonal quasi-
Newton update, a conjugacy condition is given, and then, a class of conjugate gradient …

Coherence scanning interferometry (CSI) has been a powerful non-contact technique. In this
work, a novel surface recovery algorithm based on phase noise self-correction is proposed …

The production of high-content fructo-oligosaccharides by fermentation in a fed-batch
bioreactor is considered. Fed-batch scenario allows to reduce inhibition mechanisms …