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E-book
Author Gzyl, Henryk, 1946-

Title Linear inverse problems : the maximum entropy connection (with CD-ROM) / Henryk Gzyl & Yurayh Velásquez
Published New Jersey : World Scientific, 2011
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Description 1 online resource (xix, 326 pages) : illustrations
Series Series on advances in mathematics for applied sciences ; v. 83
Series on advances in mathematics for applied sciences ; v. 83.
Contents 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
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Inverse problems (Differential equations)
Maximum entropy method.
MATHEMATICS -- Differential Equations -- General.
Inverse problems (Differential equations)
Maximum entropy method
Form Electronic book
Author Velásquez, Yurayh
LC no. 2010047244
ISBN 9789814338783
9814338788