On rules for stopping the conjugate gradient type methods in ill‐posed problems

Autor:	Uno Hämarik, Reimo Palm
Jazyk:	angličtina
Rok vydání:	2007
Předmět:	Ill‐posed problems conjugate gradient type iteration methods noise level stopping rule discrepancy principle monotone error rule Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 12, Iss 1 (2007)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/1392-6292.2007.12.61-70
Popis:	We consider stopping rules in conjugate gradient type iteration methods for solving linear ill‐posed problems with noisy data. The noise level may be known exactly or approximately or be unknown. We propose several new stopping rules, mostly for the case of unknown noise level. Numerical comparison with known rules (discrepancy principle, montone error rule, L‐curve rule, Hanke‐Raus rule) shows that the new rules are competitive. First Published Online: 14 Oct 2010
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9421b54555354ba9a80033a72043575e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF