G-2004-86
Sensitivity of Trust-Region Algorithms on their Parameters
Nick Gould, Dominique Orban, Annick Sartenaer, and Philippe Toint
In this paper, we examine the sensitivity of trust-region algorithms on the param- eters related to the step acceptance and update of the trust region. We show, in the context of unconstrained programming, that the numerical efficiency of these algo- rithms can easily be improved by choosing appropriate parameters. Recommended ranges of values for these parameters are exhibited on the basis of extensive numerical tests.
Published November 2004 , 18 pages