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On the recovery and resolution of exponential relaxation rates from experimental data: a singular-value analysis of the Laplace transform inversion in the presence of noise

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Publication:3945532
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DOI10.1098/rspa.1982.0117zbMath0485.65085OpenAlexW2146601101MaRDI QIDQ3945532

E. R. Pike, P. Boccacci, Mario Bertero

Publication date: 1982

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1982.0117

zbMATH Keywords

numerical inversionsingular valuesexperimental datapresence of noiserecovery and resolution of exponential relaxation


Mathematics Subject Classification ID

Laplace transform (44A10) Numerical methods for integral transforms (65R10)


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In memoriam Mario Bertero, High-resolution exponential analysis via regularized numerical inversion of Laplace transforms, Regularization methods for the solution of inverse problems in solar X-ray and imaging spectroscopy, Faint and clustered components in exponential analysis, Sparse Bayesian learning for the Laplace transform inversion in dynamic light scattering, On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II, On the Analytical and Numerical Properties of the Truncated Laplace Transform I.



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