Complex real-life problems may be simplified in many possible ways. In several recent
papers exactness requirements were considered as constraints of optimization problems …

In a recent paper an Inexact Restoration method for solving continuous constrained
optimization problems was analyzed from the point of view of worst-case functional …

Abstract The Inexact Restoration approach has proved to be an adequate tool for handling
the problem of minimizing an expensive function within an arbitrary feasible set by using …

We devise a new numerical method for solving the minimization problem over the Stiefel
manifold, that is, the set of matrices of order n× p (here p≤ n) with orthonormal columns. Our …

Inexact restoration (IR) methods are an important family of numerical methods for solving
constrained optimization problems with applications to electronic structures and bilevel …

In this paper, we revisit the convergence theory of the inexact restoration paradigm for
nonlinear optimization. The paper first identifies the basic elements of a globally convergent …

Minimizing a differentiable function restricted to the set of matrices with orthonormal columns
finds applications in several fields of science and engineering. In this paper, we propose to …

Global optimization problems widely exist in the fields of economic model, finance,
engineering design and control. Since it is easy to fall into multiple local optimal solutions …

I would like to thank Bill Hager, Editor‑in‑Chief of Computational Optimization and
Applications, for the opportunity to be the guest editor of this special issue. This issue …