Registration Number
0221U103973,
0118U000608
, R & D reports
Title
Numeral methods for solving of nonlinear statement equations and tasks of extremum. Stochastic optimization.
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Head
Bartish Mykhailo Ya,
Registration Date
28-02-2021
Organization
Ivan Franko National University of Lviv
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Iterative methods for solving the nonlinear least squares problem with a nondifferentiable operator, as well as with the decomposition of the operator, are proposed and investigated. A new class of methods for solving problems of function minimization and finding the solution of nonlinear operator equations is proposed.
The theorems that substantiate convergence are proved, and the rate of convergence of the considered methods is determined. The results of numerical experiments are given.
The semilocal convergence of the combined Newton - Kurchtova method to the locally unique solution of the nonlinear equation under weak conditions for derivatives and first - order differences is investigated. The radius of the convergence sphere and the estimation of the convergence rate of the method are established. A partial case of these conditions is also considered, namely the classical Lipszyc conditions.
Evolutionary systems perturbed by a controlled impulse process with Markov switches in the Poisson approximation scheme are studied. Boundary generators of pulse process and dynamic system are constructed.
Product Description
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Bartish Mykhaіlo Ya
Hnatyshyn Oleksandra P
Holub Bohdan M
Kovalchuk Olha V
Melnychyn Andrii V
Nykolaichuk Lesia V
Ohorodnyk Nataliia P
Pasichnyk Olena V
Chabaniuk Yaroslavovych M
Shakhno Stepan M
Shunkin Yurii V
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2021-02-28
