The best spectral CG-algorithm which is introduced by (Birgin &Martinez) and (Andrei. N) is modified in this paper by a hybrid search direction to overcome the lackness positive definiteness of the matrix defining the search direction.Two successive scalar parameters are introduced in this paper which are satisfy QN-like condition.These parameters are combined in such away to give a hybrid scaled search direction.The new proposed algorithm is still global convergent both theoretically and numerically.Computational results for (43) unconstrained test functions(Andri.N)show that the new algorithm substantially outperform the well- known(Andrei.N) scaled algorithm including the spectral (Birgin & Martinez) algorithm
(2007). A new hybrid scaled search direction for unconstrained optimization. Kirkuk Journal of Science, 2(1), 69-81. doi: 10.32894/kujss.2007.43548
MLA
. "A new hybrid scaled search direction for unconstrained optimization". Kirkuk Journal of Science, 2, 1, 2007, 69-81. doi: 10.32894/kujss.2007.43548
HARVARD
(2007). 'A new hybrid scaled search direction for unconstrained optimization', Kirkuk Journal of Science, 2(1), pp. 69-81. doi: 10.32894/kujss.2007.43548
VANCOUVER
A new hybrid scaled search direction for unconstrained optimization. Kirkuk Journal of Science, 2007; 2(1): 69-81. doi: 10.32894/kujss.2007.43548
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