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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Vydáno v:	Numerical linear algebra with applications Ročník 25; číslo 4
Hlavní autoři:	Dykes, Laura, Huang, Guangxin, Noschese, Silvia, Reichel, Lothar
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford Wiley Subscription Services, Inc 01.08.2018
Témata:	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
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