In this paper, we incorporate a nonmonotone technique with the new proposed adaptive
trust region radius (Shi and Guo, 2008)[4] in order to propose a new nonmonotone trust …

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 …

It is well known that trust region methods are very effective for optimization problems. In this
article, a new adaptive trust region method is presented for solving unconstrained …

Multiobjective optimization has a significant number of real-life applications. For this reason,
in this paper we consider the problem of finding Pareto critical points for unconstrained …

In this paper, an adaptive trust region algorithm that uses Moreau–Yosida regularization is
proposed for solving nonsmooth unconstrained optimization problems. The proposed …

In this paper, we present a new relaxed nonmonotone trust region method with adaptive
radius for solving unconstrained optimization problems. The proposed method combines a …

In this paper, an adaptive trust region algorithm in which the trust region radius converges to
zero is presented for solving large-residual nonsmooth least squares problems. This …

In this paper, we present a new nonmonotone trust region method with adaptive radius
which is equipped by a nonmonotone line search technique for solving unconstrained …

Based on an eigenvalue analysis conducted on the scaled memoryless quasi-Newton
updating formulas BFGS and DFP, an adaptive choice for the trust region radius is …

In this paper, we propose a new self-adaptive trust region method for unconstrained
optimization problems and develop some convergence properties. In our algorithm, we use …