R. Fletcher, “Practical Methods of Optimization,” 2nd Edition, John Wiley & Sons, Chichester, 1987
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.