Wu, Haiping; Ni, Qin A new trust region algorithm with conic model. (Chinese. English summary) Zbl 1174.65425 Numer. Math., Nanjing 30, No. 1, 57-67 (2008). Summary: Algorithms for solving trust region subproblems with a conic model are studied. Two cases of subproblems are modified and reduced to subproblems with a quadratic model such that the original subproblems are easily solved. Based on these results, a new trust region algorithm with a conic model is proposed, and its global convergence is proved. Some numerical results are reported. These results show that the new algorithm is an efficient and promising method for solving trust region subproblems with a conic model. Cited in 2 Documents MSC: 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming 90C51 Interior-point methods Keywords:conic model; trust region method; quadratic model; algorithms; global convergence; numerical results PDFBibTeX XMLCite \textit{H. Wu} and \textit{Q. Ni}, Numer. Math., Nanjing 30, No. 1, 57--67 (2008; Zbl 1174.65425)