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Information × Registration Number 0215U003857, 0112U003249 , R & D reports Title Numerical methods for solving nonlinear functional equations popup.stage_title Head Bartish Mykhaylo, Registration Date 06-05-2015 Organization Ivan Franko National University of Lviv popup.description2 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 popup.authors 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 popup.nrat_date 2020-04-02 Close