Registration Number
0215U003857,
0112U003249
, R & D reports
Title
Numerical methods for solving nonlinear functional equations
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Head
Bartish Mykhaylo,
Registration Date
06-05-2015
Organization
Ivan Franko National University of Lviv
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The object of study : nonlinear functional equations extremum problem , Newton type methods for solving them . Objective: Development of new algorithms for solving systems of nonlinear algebraic and transcendental equations. Methods based on Newton's method and the method of simple iteration for solving systems of nonlinear algebraic equations. Investigated the rate of convergence of these methods . Numerical experiments on test problems . Proposed and studied parameterized set of interval methods without rotation interval matrices to find all real solutions of algebraic and transcendental equations given initial interval. The conditions , under which each implementation method of the plurality of methods coincide with high order convergence. The numerical experiments confirm the theoretical conclusions. The analysis set interval iterative methods for convergence and convergence of their order , and several examples. The proposed arithmetic allows to develop effective methods for the solution on this basis inequalities , equations , optimization problems , constructing quadrature formulas and more.
Product Description
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Анісімова Наталя Олегівна
Бартіш Володимир Ярославович
Бартіш Михайло Ярославович
Гнатишин Олександра Павлівна
Голуб Богдан Михайлович
Ковальчук Ольга Василівна
Мельничин Андрій Володимирович
Николайчук Леся Василівна
Огородник Наталя Пилипівна
Сеньо Петро Степанович
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2020-04-02
