Martínez, José Mario A semifeasible trust-region model algorithm for minimization with inequality constraint. (English) Zbl 1006.90075 Novi Sad J. Math. 28, No. 1, 1-29 (1998). In [J. M. Martinez and L. T. Santos, J. Optim. Theory Appl. 97, 435-454 (1998; Zbl 0907.90220)] the author introduced a new algorithm of inexact-restoration type for solving minimization problems with equality constraints and bounds on the variables. The procedure to force global convergence of this algorithm makes use of an augmented Lagrangian merit function. In this paper the same ideas are applied to the problems where inequality constraints are explicitly given. The global convergence of the new method is proved, but the merit function does not allow to use arbitrary estimates of Lagrange multipliers. Reviewer: Nada Miličić-Đuranović (Beograd) MSC: 90C30 Nonlinear programming 65K05 Numerical mathematical programming methods Keywords:trust regions; GRG method; SGRA method; projected gradients Citations:Zbl 0907.90220 PDFBibTeX XMLCite \textit{J. M. Martínez}, Novi Sad J. Math. 28, No. 1, 1--29 (1998; Zbl 1006.90075)