| Article ID: | iaor20001161 | 
| Country: | China | 
| Volume: | 20 | 
| Issue: | 2 | 
| Start Page Number: | 113 | 
| End Page Number: | 120 | 
| Publication Date: | May 1998 | 
| Journal: | Mathematica Numerica Sinica | 
| Authors: | Liu G. | 
This paper discusses a trust region algorithm for unconstrained nonsmooth optimizations and its convergence, expands the scope of application of trust region algorithm from regular functions and pseudo-regular functions to Local Lipschitz functions, and gives an iteration function for a class of nonsmooth composition functions and some applications of the trust region algorithm.