An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces

We study an algorithm to compute minimum norm solution of ill-posed problems in Hilbert spaces and investigate its regularizing properties with discrepancy principle stopping rule. This algorithm results from straightly applying the LSQR method to the main problem before discretizing. In fact, the p...

Full description

Saved in:

Bibliographic Details
Published in:	Afrika mathematica Vol. 30; no. 5-6; pp. 797 - 816
Main Authors:	Jozi, Meisam, Karimi, Saeed, Salkuyeh, Davod Khojasteh
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Hilbert space History of Mathematical Sciences Ill posed problems Integral equations Iterative methods Mathematics Mathematics and Statistics Mathematics Education Regularization Regularization methods Regularization method 45A05 Minimum norm 45P05 47B38 45Q05 First kind equations 45N05 47B34 Ill-posed problem algorithm
ISSN:	1012-9405, 2190-7668
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!