A New Technique for Estimating the Lower Bound of the Trust-Region Subproblem  

作　　者：Xinlong Luo 

机构地区：[1]不详

出　　处：《Applied Mathematics》2011年第4期424-426,共3页应用数学（英文）

摘　　要：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.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.

关 键 词：TRUST-REGION METHOD UNCONSTRAINED OPTIMIZATION TRUST-REGION Subproblem 

分 类 号：O22[理学—运筹学与控制论]