ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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On projection generalized two-step two-stage quasinewton minimization method and optimization of the trajectory of aircraft

V. G. Malinov1

AnnotationIn the work projection generalized two-step two-stage Quasinewton method for solving finite dimensional minimization problems on the convex closed set in the Euclidean variable metric space is proposed. For continuously differentiable convex functions with a Lipschitz gradients the convergence of the method is proved. Application of the method to problem of numerical solution of optimal control test problem optimization of the trajectory of aircraft is discussed; we also present the results of some computational experiences.
Keywordsminimization on the simple set, projection generalized two-step two-stage Quasinewton method, convergence, differencial equations of movement, optimal control problem, optimization, trajectory of aircraft.

1Assistant Professor of Ulyanovsk State University, Ulyanovsk; vgmalinov@mail.ru.

Citation: V. G. Malinov , "[On projection generalized two-step two-stage quasinewton minimization method and optimization of the trajectory of aircraft]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 37–48 (In Russian)