ISSN:
0029-5981
Schlagwort(e):
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Mathematik
,
Technik allgemein
Notizen:
This paper concerns the implementation of a recent idea, attributed to Hestenes and Powell, based on solving the equality constrained finite dimensional minimization problem \documentclass{article}\pagestyle{empty}\begin{document}$$ \min \,\{ \,f(x)|(x)\, = \,0,\,x \in \,R^n \} $$\end{document} via the unconstrained problem \documentclass{article}\pagestyle{empty}\begin{document}$$ \min \,\{ f\,(x)\, + \, 〈 g(x),\,\lambda 〉 + 0.5 〈 g(x),\,Kg(x) 〉 \,|\,x\, \in \,R^n,\,\lambda \, \in \,R^p $$\end{document} where ƒ is a non-linear functional, g is a non-linear mapping into Rp, K is a prescribed matrix of penalty constants and λ is the Lagrange multiplier. The computational algorithm is based on restoring active constraints to first order and adjusting x in the remaining necessary conditions by gradient projection. The minimization is performed by the variable metric rank-two BGFS update with linear search by cubic interpolation. Computational results using the algorithm include two problems of minimum fuel trajectory optimization - two impulse rendezvous with Comet Encke and three impulse constrained positioning of a geostationary satellite.
Zusätzliches Material:
1 Tab.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/nme.1620100506
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