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Global convergence properties of the HS conjugate gradient method
2013
Applied Mathematical Sciences
It is well known that global convergence has not been established for the Hestenes-Stiefel (HS) conjugate gradient method using the traditional line searches conditions. In this paper, under some suitable conditions, by using a modified Armijo line search, global convergence results were established for the HS method. Preliminary numerical results on a set of large-scale problems were reported to show that the HS method's computational effiiciency is encouraging. Mathematics Subject Classification: 90C06; 90C30; 65K05
doi:10.12988/ams.2013.311638
fatcat:btmccz2eabaulh3taph3y7krve