| Article ID: | iaor20012011 | 
| Country: | Serbia | 
| Volume: | 10 | 
| Issue: | 2 | 
| Start Page Number: | 257 | 
| End Page Number: | 268 | 
| Publication Date: | Jul 2000 | 
| Journal: | Yugoslav Journal of Operations Research | 
| Authors: | uranovi-Milii Nada I. | 
In this paper we consider a modification of the Armijo step-length algorithm based on so-called ‘forcing functions’. It is proved that this modified algorithm is well-defined. Proof is given of the convergence of the obtained sequence of points to a first-order point of the problem of unconstrained optimization, as well as an estimate of the rate of convergence. Finally, numerical results obtained using TURBO PASCAL programs are given.