Linear Inverse Problems and Tikhonov Regularization

Language: English

Published by Mathematical Association of America, US, 2016

0883851415 / 9780883851418

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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 with seminorms is also analyzed and for this purpose, densely defined unbounded operators are addressed and their basic properties presented. In addition, the author provides readers with a quick but thorough review of Hilbert space theory and a brief introduction to weak derivatives and Sobolev spaces. Intended as an expository work for those interested in inverse problems and Tikhonov regularization, including graduates and researchers, the author presents the theory in an engaging and straightforward style.

Seller Inventory # LU-9780883851418

Title
Linear Inverse Problems and Tikhonov Regularization
Author
Mark Gockenbach
Publisher
Mathematical Association of America, US
Publication year
2016
Condition
New
Binding
Hardback
Language
English
ISBN 10
0883851415
ISBN 13
9780883851418
Item weight
470 grams
Dimensions
14.61 x 2.54 x 21.59 cm

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