## A Box-Constrained Optimization Algorithm With Negative Curvature Directions and Spectral Projected Gradients (2001)

by
E. G. Birgin
,
J.M. Martínez

Citations: | 28 - 5 self |

### BibTeX

@MISC{Birgin01abox-constrained,

author = {E. G. Birgin and J.M. Martínez},

title = {A Box-Constrained Optimization Algorithm With Negative Curvature Directions and Spectral Projected Gradients},

year = {2001}

}

### Years of Citing Articles

### OpenURL

### Abstract

A practical algorithm for box-constrained optimization is introduced. The algorithm combines an active-set strategy with spectral projected gradient iterations. In the interior of each face a strategy that deals eciently with negative curvature is employed. Global convergence results are given. Numerical results are presented. Keywords: box constrained minimization, active set methods, spectral projected gradients, dogleg path methods. AMS Subject Classication: 49M07, 49M10, 65K, 90C06, 90C20. 1