M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator

dc.contributor.author	Matysik, O.V.
dc.contributor.author	Zabreiko, P.P.
dc.date.accessioned	2020-09-18T06:27:03Z
dc.date.available	2020-09-18T06:27:03Z
dc.date.issued	2015-06-06
dc.identifier.citation	Matysik, O.V. M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator / O.V. Matysik, P.P. Zabreiko // Computational Methods in Applied Mathematics. — 2015. – Vol. 15, iss. 3. – P. 889–895.	ru_RU
dc.identifier.issn	1609-9389
dc.identifier.uri	http://rep.brsu.by:80/handle/123456789/292
dc.description.abstract	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 theorem by M. A. Krasnosel'skii on the convergence of the successive approximations, their modifications and refinements.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	De Gruyter	ru_RU
dc.subject	errors	ru_RU
dc.subject	residuals and corrections	ru_RU
dc.subject	weakened norms	ru_RU
dc.subject	orthogonal projection	ru_RU
dc.subject	convergence and convergence rate of approximations	ru_RU
dc.subject	ill-posed linear problems	ru_RU
dc.subject	method of successive approximations	ru_RU
dc.subject	spectrum of operator	ru_RU
dc.title	M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator	ru_RU
dc.type	Article	ru_RU