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M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator
(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 ...
Regularization of ill-posed problems in Hilbert space by means of the implicit iteration process
(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 ...