@article{LaleNocePlan98, author = {M. Lalee and J. Nocedal and T. D. Plantenga}, title = {On the implementation of an algorithm for large-scale equality constrained optimization}, journal = SIOPT, volume = 8, number = 3, pages = {682--706}, year = 1998, abstract = {This paper describes a software implementation of Byrd and \citebb{Omoj89}'s trust-region algorithm for solving nonlinear equality constrained optimization problems. The code is designed for the efficient solution of large problems and provides the user with a variety of linear algebra techniques for solving the subproblems occurring in the algorithm. Second derivative information can be used, but when it is not available, limited memory quasi-Newton approximations are made. The performance of the code is studied using a set of difficult test problems from the {\sf CUTE} collection.}, summary = {A software implementation of (Byrd and) \citebb{Omoj89}'s trust-region algorithm for nonlinear equality constrained optimization is described. The code is designed for the efficient solution of large problems and provides the user with a variety of linear algebra techniques for solving the subproblems occurring in the algorithm. Second derivative information can be used, as well as limited memory quasi-Newton approximations. The performance of the code is studied using a set of difficult test problems from the {\sf CUTE} collection.}}