Registration Number
0218U001496,
0115U003694
, R & D reports
Title
Numerical methods for the solution of nonlinear functional equations and optimization problems
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Head
Bartish M.,
Registration Date
14-02-2018
Organization
Ivan Franko National University of Lviv
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An aim of this project is a construction of new algorithms that give an opportunity more effectively, in sense of amount of calculations, to get the results of untiing of nonlinear functional equalizations and tasks on an extremum. Using the idea of construction of lowering methods, the new variant of "gradient" method is built. Principles of construction of methods of the покоординатного lowering are used in the offered method. Convergence of method is reasonable in theory. Numerical experiments are executed, drawn conclusion about efficiency and possibility of application of the offered algorithms. Three-step modification of method is offered with the order of convergence for untiing of nonlinear statement equalizations. Convergence of method is well-proven and the estimation of error is got. On test examples numerical research of this modification is executed and conducted comparing to the base method, drawn conclusion in relation to the got results. Approbation of method confirms theoretical The algorithms of untiing of algebra and functional equalizations and inequalities, tasks of optimization, twoextraneous approximation of functions are offered on the set interval by nonlinear splines. Well-proven correctness of these applications and the brought results over of the calculated experiments.
Product Description
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.Мельничин А.В.
Бартіш М.Я.
Гнатишин О.П.
Голуб Б.М.
Жерновий К.Ю.
Ковальчук О.В.
Коркуна Н.М.
Николайчук Л.В.
Сеньо П.С.
Чабанюк Я.М.
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2020-04-02
