Linear Inverse Problems: The Maximum Entropy Connection (With Cd-rom)

Author:   Henryk Gzyl (Iesa, Venezuela) ,  Yurayh Velasquez (Univ Metropolitana, Venezuela)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   83
ISBN:  

9789814338776


Pages:   352
Publication Date:   17 February 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Linear Inverse Problems: The Maximum Entropy Connection (With Cd-rom)


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Overview

The 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.

Full Product Details

Author:   Henryk Gzyl (Iesa, Venezuela) ,  Yurayh Velasquez (Univ Metropolitana, Venezuela)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   83
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 23.10cm
Weight:   0.658kg
ISBN:  

9789814338776


ISBN 10:   981433877
Pages:   352
Publication Date:   17 February 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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.

Reviews

This book serves as lecture notes and is suitable for a graduate-level course on inverse problems. It covers a broad subject, gives explanations in sufficient detail, and helps readers learn to apply the presented methods. -- Mathematical Reviews Mathematical Reviews


This book serves as lecture notes and is suitable for a graduate-level course on inverse problems. It covers a broad subject, gives explanations in sufficient detail, and helps readers learn to apply the presented methods. -- Mathematical Reviews ""Mathematical Reviews""


"This book serves as lecture notes and is suitable for a graduate-level course on inverse problems. It covers a broad subject, gives explanations in sufficient detail, and helps readers learn to apply the presented methods. -- Mathematical Reviews ""Mathematical Reviews"""


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