In this paper, we examine sets of tools associated to modeling systems for mathematical programming which can be used to automatically detect the presence ...

We recall the use of squared slacks used to transform inequality constraints into equalities and several reasons why their introduction may be harmful in ...

Optimization problems modeled in the AMPL modeling language [Fourer, Gay and Kernighan (2002)] may be examined by a set of tools found in the AMPL Library [...

We propose a unified framework for the update of the barrier parameter in interiorpoint methods for nonlinear programming. The original primal-dual system i...

The objectives of this paper are twofold; we first demonstrate the flexibility of the mesh adaptive direct search (MADS) in identifying locally optimal algo...

In this paper, we examine the sensitivity of trust-region algorithms on the param- eters related to the step acceptance and update of the trust region. We s...

Recent developments in numerical methods for solving large differentiable nonlinear optimization problems are reviewed. State-of-the-art algorithms for solv...