2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228885Given a real objective function defined over the symmetric group, a direct local-search algorithm is proposed, and its complexity is estimated. In particular for an $n$-dimensional unit vector we are interested in the permutation isometry that acts on this vector by mapping it into a cone of a given angle.Optimization and ControlA straightforward local-search optimization algorithm on the symmetric grouptext