@article {IOPORT.05789941, author = {Tang, Mingyun and Yuan, Ya-Xiang}, title = {Using truncated conjugate gradient method in trust-region method with two subproblems and backtracking line search.}, year = {2010}, journal = {Computational and Applied Mathematics}, volume = {29}, number = {2}, issn = {0101-8205}, pages = {89-106}, publisher = {Sociedade Brasileira de Matem\'atica Aplicada e Computacional, S\~ao Carlos}, doi = {10.1590/S1807-03022010000200001 }, abstract = {The authors propose a trust-region method with two subproblems and backtracking line search for solving unconstrained optimization problems of the following form $\min_{x\in\bbfR^n}\,f(x)$. At every iteration, the authors use the truncated conjugate gradient method or ist variation to solve one of the two subproblems approximately. The authors show that the given method has the same convergence properties as the traditional trust-region method. Numerical results are given.}, reviewer = {Hans Benker (Merseburg)}, identifier = {05789941}, }