%0 Journal Article %T Generalized conditional gradient: analysis of convergence and applications %A Alain Rakotomamonjy %A R¨Śmi Flamary %A Nicolas Courty %J Mathematics %D 2015 %I arXiv %X The objectives of this technical report is to provide additional results on the generalized conditional gradient methods introduced by Bredies et al. [BLM05]. Indeed , when the objective function is smooth, we provide a novel certificate of optimality and we show that the algorithm has a linear convergence rate. Applications of this algorithm are also discussed. %U http://arxiv.org/abs/1510.06567v1