An efficient algorithm for regularization of Laplace transform inversion in real case

We address design of a numerical algorithm for solving the linear system arising in numerical inversion of Laplace transforms in real case [L. D’Amore, A. Murli, Regularization of a Fourier series method for the Laplace transform inversion with real data, Inverse Problems 18 (2002) 1185–1205]. The m...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 210; no. 1; pp. 84 - 98
Main Authors:	Campagna, R., D’Amore, L., Murli, A.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 31.12.2007 Elsevier
Subjects:	Algebra Algebraic geometry Automatic stopping rule Combinatorics Combinatorics. Ordered structures Designs and configurations Exact sciences and technology Fourier analysis GMRES Ill posed problem Laplace transform inversion Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Regularization Sciences and techniques of general use 65R32 65F10 65F22 GMRES Ill posed problem Regularization Automatic stopping rule Laplace transform inversion Numerical linear algebra Singular value Eigenvalue Fourier analysis Iteration Fourier series Algorithm Inverse problem Direct method Regularization method 65F22; 65F10; 65R32 Numerical analysis Linear system Numerical computation Laplace transform inversion; III posed problem; Regularization; GMRES; Automatic stopping rule Matrix inversion Applied mathematics Condition number Laplace transformation Preconditioning
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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