A non-linear regularizing algorithm and some of its applications

A NON-LINEAR iterative process is described for solving equations of the 1st kind in Helbert space; the process is stable with respect to disturbances of the operator and right-hand side of the equation. A modification of the process is shown to be a Tikhonov-regularizing algorithm.

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1979, Vol.19 (4), p.22-31
Main Author: Trushnikov, V.N.
Format: Article
Language:English
Online Access:Get full text
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Summary:A NON-LINEAR iterative process is described for solving equations of the 1st kind in Helbert space; the process is stable with respect to disturbances of the operator and right-hand side of the equation. A modification of the process is shown to be a Tikhonov-regularizing algorithm.
ISSN:0041-5553
DOI:10.1016/0041-5553(79)90152-6