Linear Inverse Problems: The Maximum Entropy Connection (Series on Advances in Mathematics for Applied Sciences v. 83)

Linear Inverse Problems: The Maximum Entropy Connection (Series on Advances in Mathematics for Applied Sciences v. 83)

By: Yurayh Velasquez (author), Henryk Gzyl (author)Mixed Media

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Description

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.

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Contents

A Collection of Linear Inverse Problems; The Basics about Linear Inverse Problems; Regularization in Hilbert Spaces; Maxent and Linear Problems; Finite Dimensional Problems; Numerical Examples; Some Infinite Dimensional Problems; Tomography and Reconstruction from Marginals; Inversion of Laplace Transforms; Maxentropic Characterization of Some Probability Distributions; An Inverse Problem in Astronomy.

Product Details

  • publication date: 17/02/2011
  • ISBN13: 9789814338776
  • Format: Mixed Media
  • Number Of Pages: 370
  • ID: 9789814338776
  • weight: 658
  • ISBN10: 981433877X

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