Просмотр по автору "Matysik, O.V."

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ITERATION METHOD OF EXPLICIT TYPE FOR SOLVING INCORRECT EQUATIONS OF FIRST KIND WITH APPROXIMATELY SPECIFIED OPERATOR

Matysik, O.V. (БрГУ Имени А.С. Пушкина, 2016)

The article deals with the study of the explicit method of solving incorrect equations of the first kind with nonnegative self-adjoint limited operator in Hilbert space. It aims at proving the method convergence in case ...
2021-01-05
M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator

Matysik, O.V.; Zabreiko, P.P. (De Gruyter, 2015-06-06)

The paper deals with iterative methods for solving linear operator equations x=Bx+f and Ax=f with self-adjoint operators in Hilbert space X in the critical case when ρ(B)=1 and 0∈SpA. The results obtained are based on a ...
2020-09-18
Regularization of ill-posed problems in Hilbert space by means of the implicit iteration process

Matysik, O.V. (Київський нацiональний унiверситет iменi Тараса Шевченка, 2015)

The article substantiates the convergence of the method with a posteriori choice of the number of iterations in the original norm of Hilbert space in case of a self-adjoint operator on the assumption of existing errors in ...
2020-09-18