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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
Online access available from:
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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.
Form Electronic book
Author Velásquez, Yurayh.
ISBN 9789814338783 (electronic bk.)
9814338788 (electronic bk.)