On a new feasible directions solution approach in constrained optimization / J. Orkisz, M. Pazdanowski // W: The finite element method in the 1990's : a book dedicated to O.C. Zienkiewicz / ed. by E. Oñate, ... więcej

On a new feasible directions solution approach in constrained optimization / J. Orkisz, M. Pazdanowski // W: The finite element method in the 1990's : a book dedicated to O.C. Zienkiewicz / ed. by E. Oñate, J. Periaux, A. Samuelsson ; Centro Internacional de Metodos Numericos en lngenieria CIMNE, Barcelona. – Berlin ; Heidelberg : Springer, 1991. – S. 621-632 : rys., tab. – Bibliogr. 11 poz., Summ. – DOI: 10.1007/978-3-662-10326-5 (całość). – ISBN 978-3-662-10328-9. – ISBN 978-3-662-10326-5 (eBook)

The latest version of a new Feasible Directions Method for solution of nonlinear constrained optimization problems is presented. The method is designed to effectively analyze large convex problems. It ... więcej

The latest version of a new Feasible Directions Method for solution of nonlinear constrained optimization problems is presented. The method is designed to effectively analyze large convex problems. It is a search method that may start from an arbitrary point. It provides a search algorithm, at first for a feasible point, and later on, for the optimum point inside the feasible region. The search strategy is based on geometry, and is entirely different from the one used in the conventional FDM. This strategy is applied in two key procedures called “standard ” and “auxiliary ”. Besides the solution algorithm, the relevant computer program is also discussed, and results of numerical benchmarks are presented as well. A large scale application to a nonlinear shake-down problem is also given. Efficiency of both the method and computer program has been successfully tested versus the conventional FDM implemented in the professional ADS optimization software. All the results obtained show that the approach proposed may provide an effective tool for large scale convex analysis.