Different Second Order Approximationsin a model-based SQP Trust-Region DFO Method
Anke Tröltzsch
Abstract
Anke Tröltzsch
Abstract
A trust-region SQP method for general nonlinear constrained optimization without derivatives is proposed. The trust-region step is computed by a Byrd-Omojokun-like approach. An active-set strategy is used to handle bound constraints and inequality constraints. The objective and constraint functions are approximated by local linear or quadratic interpolation. In this work, we want to examine different approximation techniques.
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A trust-region SQP method for general nonlinear constrained optimization without derivatives is proposed. The trust-region step is computed by a Byrd-Omojokun-like approach. An active-set strategy is used to handle bound constraints and inequality constraints. The objective and constraint functions are approximated by local linear or quadratic interpolation. In this work, we want to examine different approximation techniques.
Key concepts: Trust region, Sequential quadratic programming, Mathematical optimization, Interpolation (computer graphics), Constraint (computer-aided design), Mathematics, Nonlinear programming, Set (abstract data type)