1991•Unpublished venueOpen access

Research on trust-region algorithms for nonlinear programming

J. E. Dennis, R. A. Tapia

Abstract

This report discusses research on the following topics: interior- point methods for linear programming; trust-region SQP newton's method for general nonlinear programming problems; trust-region SQP newton's method for large sparse nonlinear programming problems with applications to oil reservoir management; a unified approach to global convergence of trust-region methods for nonsmooth optimization; and SQP augmented lagrangian BRGS algorithm for constrained optimization. (LSP).

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Available abstract

Key concepts: Sequential quadratic programming, Trust region, Nonlinear programming, Mathematical optimization, Convergence (economics), Nonlinear system, Interior point method, Augmented Lagrangian method