Regularization matrices for discrete ill‐posed problems in several space dimensions

Summary Many applications in science and engineering require the solution of large linear discrete ill‐posed problems that are obtained by the discretization of a Fredholm integral equation of the first kind in several space dimensions. The matrix that defines these problems is very ill conditioned...

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Bibliographic Details

Published in:	Numerical linear algebra with applications Vol. 25; no. 4
Main Authors:	Dykes, Laura, Huang, Guangxin, Noschese, Silvia, Reichel, Lothar
Format:	Journal Article
Language:	English
Published:	Oxford Wiley Subscription Services, Inc 01.08.2018
Subjects:	Conditioning discrete ill‐posed problems, Krylov subspace iterative methods, matrix nearness problems, standard form problems, Tikhonov regularization Discretization Error analysis Error detection Integral equations Regularization Roundoff error
ISSN:	1070-5325, 1099-1506
Online Access:	Get full text
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