@article {IOPORT.06031709, author = {Zhang, Yang and Wang, Kairong}, title = {A new general form of conjugate gradient methods with guaranteed descent and strong global convergence properties.}, year = {2012}, journal = {Numerical Algorithms}, volume = {60}, number = {1}, issn = {1017-1398}, pages = {135-152}, publisher = {Springer, Dordrecht}, doi = {10.1007/s11075-011-9515-0}, abstract = {The authors present a new general form of conjugate gradient methods and give a sufficient condition for the global convergence of the proposed method under weak conditions on the objective function. They also establish a variety of convergence results on other conjugate gradient methods, which include the Polak-Ribi\`ere-Polyak, Hestenes-Stiefel, Liu-Storey, Dai-Yuan-type and Conjugate-Descent-type methods. Some preliminary numerical results are provided.}, reviewer = {Guoqiang Wang (Shanghai)}, identifier = {06031709}, }