A. R. Conn, N. Gould and P. L. Toint, “Trust-Region Methods,” SIAM, Philadelphia, 2000. doi:10.1137/1.9780898719857
has been cited by the following article:
TITLE: A New Technique for Estimating the Lower Bound of the Trust-Region Subproblem
AUTHORS: Xinlong Luo
KEYWORDS: Trust-Region Method, Unconstrained Optimization, Trust-Region Subproblem
JOURNAL NAME: Applied Mathematics, Vol.2 No.4, March 31, 2011
ABSTRACT: Trust-region methods are popular for nonlinear optimization problems. How to determine the predicted reduction of the trust-region subproblem is a key issue for trust-region methods. Powell gave an estimation of the lower bound of the trust-region subproblem by considering the negative gradient direction. In this article, we give an alternate way to estimate the same lower bound of the trust-region subproblem.