  In this work, employing the exchange-only orbital-dependent functional, we
have obtained the optimized effective potential using the simple iterative
method proposed by K\"ummel and Perdew [S. K\"ummel and J. P. Perdew, Phys.
Rev. Lett. {\bf 90}, 43004-1 (2003)]. Using this method, we have solved the
self-consistent Kohn-Sham equations for closed-shell simple metal clusters of
Al, Li, Na, K, and Cs in the context of jellium model. The results are in good
agreement with those obtained by the different method of Engel and Vosko [E.
Engel and S. H. Vosko, Phys. Rev. B {\bf 50}, 10498 (1994)].
