Hetsko O. Research of quality of approximation iteration methods of global minimization of functional and nonlinear functional equations is in the tasks of mathematical model

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U002094

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

15-04-2016

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

Dissertation work touches development and research of elements of general theory of global optimization of the tasks realized on a class twice continuously differentiated of nonlinear functionals that have a complete number of points of extremum in some reserved limit area, to proof of theorem about the abandon of sequence of close tasks after the known abandon of initial task and convergence's method of passing to the sequence of close tasks and theorem about the abandon of initial task on the basis of abandon (at the legitimate fixed value to the parameter of approximation) of approaching task, accordance of their decisions and a posteriori estimation of error, that it is confirmed by the row of calculable experiments, in that number and on a task with the known analytical decision.

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