Celis, Maria Rosa2018-06-182018-06-181985-05Celis, Maria Rosa. "A Trust Region Strategy for Nonlinear Equality Constrained Optimization." (1985) <a href="https://hdl.handle.net/1911/101581">https://hdl.handle.net/1911/101581</a>.https://hdl.handle.net/1911/101581This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/15885Many current algorithms for nonlinear constrained optimization problems determine a search direction by solving a quadratic programming subproblem. The global convergence properties are addressed by using a line search technique and a merit function to modify the length of the step obtained from the quadratic program. In unconstrained optimization, trust region strategies have been very successful. In this thesis we present a new approach for equality constrained optimization problems based on a trust region strategy. The direction selected is not necessarily the solution of the standard quadratic programming subproblem.50 ppengTechnical reportTR85-04