Linear Inverse Problems and Tikhonov Regularization, 9780883851418
Hardcover
Tikhonov regularization is the most popular general-purpose method for regularization and uses much of the machinery of Hilbert space theory. This book develops the theory of Tikhonov regularization for linear inverse problems defined on Hilbert spaces and is ideal for graduates and researchers.

Linear Inverse Problems and Tikhonov Regularization

$143.70

  • Hardcover

    336 pages

  • Release Date

    24 November 2016

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Summary

Tikhonov regularization is the most popular general-purpose method for regularization, a mathematical technique to suppress the effect of noise in data, and uses much of the machinery of Hilbert space theory. This book develops the theory of Tikhonov regularization for a certain class of linear inverse problems which are defined on Hilbert spaces. To explain why and how Tikhonov regularization works, the singular value expansion for compact operators is introduced. Tikhonov regularization wit…

Book Details

ISBN-13:9780883851418
ISBN-10:0883851415
Series:Carus Mathematical Monographs
Author:Mark S. Gockenbach
Publisher:Mathematical Association Of America
Imprint:Mathematical Association of America
Format:Hardcover
Number of Pages:336
Release Date:24 November 2016
Weight:47g
Dimensions:252mm x 168mm x 23mm
About The Author

Mark S. Gockenbach

Mark Gockenbach received his Ph.D. in Computational and Applied Mathematics from Rice University, Houston and has since held faculty positions at Indiana University, the University of Michigan and Rice University. He is now Professor and Chair of the Department of Mathematical Sciences at Michigan Technological University and has won several awards for teaching. He also serves as a volunteer lecturer in the International Mathematical Union’s Volunteer Lecturer Program (VLP) where he has taught master’s degree courses in Phnom Penh, Cambodia. He has published several books on inverse problems in partial differential equations, including Partial Differential Equations: Analytical and Numerical Methods (first edition 2002, second edition 2010) and Understanding and Implementing the Finite Element Method (2006).

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