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...

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Vydané v:	Afrika mathematica Ročník 30; číslo 5-6; s. 797 - 816
Hlavní autori:	Jozi, Meisam, Karimi, Saeed, Salkuyeh, Davod Khojasteh
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019 Springer Nature B.V
Predmet:	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
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