Linear inverse problems : the maximum entropy connection (with CD-ROM) /
This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-lin...
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey :
World Scientific,
2011.
|
| Series: | Series on advances in mathematics for applied sciences ;
v. 83. |
| Subjects: | |
| Online Access: |
Full text (Emmanuel users only) |
MARC
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| 100 | 1 | |a Gzyl, Henryk, |d 1946- | |
| 245 | 1 | 0 | |a Linear inverse problems : |b the maximum entropy connection (with CD-ROM) / |c Henryk Gzyl & Yurayh Velásquez. |
| 260 | |a New Jersey : |b World Scientific, |c 2011. | ||
| 300 | |a 1 online resource (xix, 326 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Series on advances in mathematics for applied sciences ; |v v. 83 | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Preface; Contents; List of Figures; List of Tables; 1. Introduction; 2. A collection of linear inverse problems; 3. The basics about linear inverse problems; 4. Regularization in Hilbert spaces: Deterministic and stochastic approaches; 5. Maxentropic approach to linear inverse problems; 6. Finite dimensional problems; 7. Some simple numerical examples and moment problems; 8. Some infinite dimensional problems; 9. Tomography, reconstruction from marginals and transportation problems; 10. Numerical inversion of Laplace transforms; 11. Maxentropic characterization of probability distributions. | |
| 520 | |a This book describes a useful tool for solving linear inverse problems subject to convex constraints. The method of maximum entropy in the mean automatically takes care of the constraints. It consists of a technique for transforming a large dimensional inverse problem into a small dimensional non-linear variational problem. A variety of mathematical aspects of the maximum entropy method are explored as well. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Inverse problems (Differential equations) | |
| 650 | 0 | |a Maximum entropy method. | |
| 700 | 1 | |a Velásquez, Yurayh. | |
| 758 | |i has work: |a Linear inverse problems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG46mwpK3W9HbkmPf6mrv3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Gzyl, Henryk, 1946- |t Linear inverse problems. |d New Jersey : World Scientific, 2011 |z 9789814338776 |w (DLC) 2010047244 |w (OCoLC)681502962 |
| 830 | 0 | |a Series on advances in mathematics for applied sciences ; |v v. 83. | |
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