Estimate of the accuracy of solving an ill-posed problem using averaging functions

A linear ill-posed problem is considered with a large number of right-hand sides which are known with an identical level of error. A method of solving this problem of the uniform regularization type using averaging functions is considered. The connection between the properties of these functions and...

Full description

Saved in:
Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1986, Vol.26 (5), p.7-18
Main Authors: Gryn, V.I., Yakovlev, S.A.
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A linear ill-posed problem is considered with a large number of right-hand sides which are known with an identical level of error. A method of solving this problem of the uniform regularization type using averaging functions is considered. The connection between the properties of these functions and the properties of regularizing algorithms is examined. Estimates are obtained of the deviation of the approximate solutions from the averaged accurate solutions, which have the properties of continuous dependence on some parameters of the algorithms.
ISSN:0041-5553
DOI:10.1016/0041-5553(86)90034-0