Preconditioning linear systems via matrix function evaluation

Autor:	Paolo Novati, Michela Redivo-Zaglia, Maria Rosaria Russo
Přispěvatelé:	Novati, Paolo, Redivo Zaglia, Michela, Russo, Maria Rosaria
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	Numerical Analysis Iterative method Applied Mathematics Tikhonov regularization Mathematical analysis Linear system Numerical Analysis (math.NA) Ill-conditioned linear systems Tikhonov regularization matrix functions Arnoldi method Integral equation Ill-conditioned linear systems matrix functions Arnoldi method Connection (mathematics) Mathematics::Numerical Analysis Arnoldi iteration Computational Mathematics Matrix function FOS: Mathematics Applied mathematics Mathematics - Numerical Analysis Image restoration Mathematics
Popis:	For the solution of discrete ill-posed problems, in this paper a novel preconditioned iterative method based on the Arnoldi algorithm for matrix functions is presented. The method is also extended to work in connection with Tikhonov regularization. Numerical experiments arising from the solution of integral equations and image restoration are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cd4015b79a9dc29e9c4eabd3396622a http://www.sciencedirect.com/science/article/pii/S0168927412001237?v=s5 Zobrazit plný text záznamu