Hadi Nosratipour - Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran.
Farhad Sarani - Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran.

In [۱] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. ۱۴۱ (۲۰۰۹) ۲۴۹ - ۲۶۴), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem ۲.۱ in [۱] is incorrect due to an erroneous inequality which used to indicate the descent property for the search direction of the CCOMB algorithm. It is also remarkable that the proof of the Theorem ۲.۲ should be revised. Following the notations in [۱], the main goal of this note is to provide some necessary corrections to rectify the mentioned issues.

Unconstrained optimization, Hybrid conjugate gradient method, Sufficient descent condition, Conjugacy condition