Mohammed BELLOUFI and Benzine Rachid (2014) Développements récents de la méthode du gradient conjugué. Université Badji Mokhtar Annaba
In this thesis, we present a theoretical and an algorithmic study for the conjugate gradient methods which has made the object of many researchers in this last years.
Indeed, The Hestenes-Stiefel (HS) conjugate gradient algorithm is a useful tool of unconstrained numerical optimization. which has good numerical performance but no global convergence result under traditional line searches. We proposes a line search technique that guarante the global convergence of the Hestenes-Stiefel (HS) conjugate gradient method.