We introduce an inexact Gauss-Newton trust-region method for solving bound-constrained nonlinear least-squares problems where, at each iteration, a trust-region subproblem is approximately solved by the Conjugate Gradient method. Provided a suitable control on the accuracy to which we attempt to solve the subproblems, we prove that the method has global and asymptotic fast convergence properties.

## Citation

M.Porcelli, "On the convergence of an inexact Gauss-Newton trust-region method for nonlinear least-squares problems with simple bounds", Optimization Letters, 7:3 (2013), pp. 447–-465. DOI:10.1007/s11590-011-0430-z