In this paper, we propose a Perry-type derivative-free algorithm for solving systems of
nonlinear equations. The algorithm is based on the well-known BFGS quasi-Newton method …

In this paper, we present a new adaptive trust-region method for solving nonlinear
unconstrained optimization problems. More precisely, a trust-region radius based on a …

We develop a Trust Region method with Regularized Barzilai-Borwein step-size obtained in
a previous paper for solving large-scale unconstrained optimization problems …

In this paper, we introduce a new three-term conjugate gradient (NTTCG) method to solve
unconstrained smooth optimization problems. NTTCG is based on conjugate gradient …

In this study, a new adaptive trust-region strategy is presented to solve nonlinear systems.
More specifically, we propose a new method leading to produce a smaller trust-region …

This paper suggests a two-phase scheme for the impulse noise removal. In the first phase,
an adaptive median filter (AMF) identifies noise candidates created by salt-and-pepper …

Purpose: One of the most effective methods for solving unconstrained optimization problems
is the trust region method. The strategy of determining the radius of the trust region has a …

In this paper, we present a nonmonotone trust-region algorithm for unconstrained
optimization. We first introduce a variant of the nonmonotone strategy proposed by …

There have been some conjugate gradient methods with strong convergence but numerical
instability and conversely‎. Improving these methods is an interesting idea to produce new …

In this paper, a new pattern search is proposed to solve the systems of nonlinear equations.
We introduce a new non-monotone strategy which includes a convex combination of the …