Another hybrid conjugate gradient algorithm for unconstrained optimization Neculai Andrei Research I

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Another hybrid conjugate gradient algorithm for
unconstrained optimizationNeculai
AndreiResearch Institute for Informatics,
8-10, Averescu Avenue, Bucharest 1, Romania,
E-mail nandrei_at_ici.ro6th Workshop, September
5-9, 2007Constantza, Romania
(molecular formation under pairwise minimization)
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Touat-Ahmed and Storey
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A new hybrid conjugate gradient algorithm
,

,
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and
Theorem 1.
If
then
is a descent direction.
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Theorem 2.
If
then there exists a constant
such that
i.e.
satisfies the sufficient descent condition.
and
Theorem 3.
If
is a Lipschitz function,
is determined by the Wolfe line search
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Numerical experiments
75 large-scale unconstrained optimization
problems in extended or generalized form
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The energy potential function