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Computational Methods for Inverse Problems (Paperback)
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Computational Methods for Inverse Problems (Paperback)
Series: Frontiers in Applied Mathematics, No. 23
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Inverse problems arise in a number of important practical
applications, ranging from biomedical imaging to seismic
prospecting. This book provides the reader with a basic
understanding of both the underlying mathematics and the
computational methods used to solve inverse problems. It also
addresses specialized topics like image reconstruction, parameter
identification, total variation methods, nonnegativity constraints,
and regularization parameter selection methods. Because inverse
problems typically involve the estimation of certain quantities
based on indirect measurements, the estimation process is often
ill-posed. Regularization methods, which have been developed to
deal with this ill-posedness, are carefully explained in the early
chapters of Computational Methods for Inverse Problems. The book
also integrates mathematical and statistical theory with
applications and practical computational methods, including topics
like maximum likelihood estimation and Bayesian estimation. Several
web-based resources are available to make this monograph
interactive, including a collection of MATLAB m-files used to
generate many of the examples and figures. These resources enable
readers to conduct their own computational experiments in order to
gain insight. They also provide templates for the implementation of
regularization methods and numerical solution techniques for other
inverse problems. Moreover, they include some realistic test
problems to be used to further develop and test various numerical
methods.
General
Imprint: |
Society For Industrial & Applied Mathematics,U.S.
|
Country of origin: |
United States |
Series: |
Frontiers in Applied Mathematics, No. 23 |
Release date: |
1987 |
Authors: |
Curtis R. Vogel
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Series editors: |
H.T. Banks
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Dimensions: |
229 x 152 x 10mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
349 |
ISBN-13: |
978-0-89871-550-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
0-89871-550-4 |
Barcode: |
9780898715507 |
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