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Record Nr. |
UNINA9910461308603321 |
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Autore |
Gzyl Henryk <1946-> |
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Titolo |
Linear inverse problems [[electronic resource] ] : the maximum entropy connection (with CD-ROM) / / Henryk Gzyl, Yurayh Velásquez |
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Pubbl/distr/stampa |
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Hackensack, N.J., : World Scientific, 2011 |
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ISBN |
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1-283-14868-4 |
9786613148681 |
981-4338-78-8 |
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Descrizione fisica |
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1 online resource (351 p.) |
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Collana |
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Series on advances in mathematics for applied sciences ; ; v. 83 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Inverse problems (Differential equations) |
Maximum entropy method |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 2.1 A battle horse for numerical computations; 2.2 Linear equations with errors in the data; 2.3 Linear equations with convex constraints; 2.4 Inversion of Laplace transforms from finite number of data points; 2.5 Fourier reconstruction from partial data; 2.6 More on the non-continuity of the inverse; 2.7 Transportation problems and reconstruction from marginals; 2.8 CAT; 2.9 Abstract spline interpolation; 2.10 Bibliographical comments and references; References |
3. The basics about linear inverse problems3.1 Problemstatements; 3.2 Quasi solutions and variational methods; 3.3 Regularization and approximate solutions; 3.4 Appendix; 3.5 Bibliographical comments and references; References; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 4.1 Basics; 4.2 Tikhonov's regularization scheme; 4.3 Spectral cutoffs; 4.4 Gaussian regularization of inverse problems; 4.5 Bayesianmethods; 4.6 The method ofmaximumlikelihood; 4.7 Bibliographical comments and references; References; 5. Maxentropic approach to linear inverse problems |
5.1 Heuristic preliminaries5.2 Some properties of the entropy |
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