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Abstract

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.


BibTex

@article{uniusa132,
    title={Global Convergence Properties of the HS Conjugate Gradient Method},
    author={Mohammed BELLOUFI and Benzine Rachid},
    journal={Applied Mathematical Sciences}
    year={2013},
    volume={07},
    number={142},
    pages={7077 – 7091},
    publisher={HIKARI Ltd}
}