Li, Yuying2007-04-042007-04-041994-11http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/94-197https://hdl.handle.net/1813/5530(The following contains mathematical formulae and symbols that may become distorted in ASCII text.) A nonlinearly constrained optimization problem can be solved by the exact penalty approach involving non differentiable functions (summation(i)of |ci(x)|) and (summation(i) of max(0,ci(x))). In [11], a trust region affine scaling approach based on a 2-norm subproblem is proposed for solving a nonlinear l 1 problem. The (quadratic) approximation and the trust region subproblem are defined using affine scaling techniques. Explicit sufficient decrease conditions are proposed to obtain a limitpoint satisfying complementarity, dual feasibility, and second order optimality. In this paper, we present the global convergence properties of this new approach.263978 bytes293469 bytesapplication/pdfapplication/postscripten-UStheory centernonlinearly constrained minimizationtrust regionsufficient decrease conditionsaffine scalingexact penaltynonlinear l 1 problemglobal convergencetechnical report