SQP methods for large-scale nonlinear programming N.I.M. Gould and Ph. L. Toint Report 99/05 16 August 1999 We compare and contrast a number of recent sequential quadratic programming (SQP) methods that have been proposed for the solution of large-scale nonlinear programming problems. Both line-search and trust-region approaches are considered, as are the implications of interior-point and quadratic programming methods.