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Linear Inverse Problems and Tikhonov Regularization

Linear Inverse Problems and Tikhonov Regularization

Linear Inverse Problems and Tikhonov Regularization Hardback - 2016

by Mark S. Gockenbach

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Description

Hardback. New. Ideal for graduates and researchers, this book covers the theory of Tikhonov regularization for linear inverse problems defined on Hilbert spaces.
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Details

  • Title Linear Inverse Problems and Tikhonov Regularization
  • Author Mark S. Gockenbach
  • Binding Hardback
  • Condition New
  • Pages 336
  • Volumes 1
  • Language ENG
  • Publisher Mathematical Association of America (MAA)
  • Publication date 2016
  • Illustrated Yes
  • Bookseller's Inventory # A9780883851418
  • ISBN 9780883851418 / 0883851415
  • Weight 1.04 lbs (0.47 kg)
  • Dimensions 8.53 x 5.9 x 0.91 in (21.67 x 14.99 x 2.31 cm)
  • Category Mathematics
  • Library of Congress subjects Hilbert space, Inverse problems (Differential equations)
  • Library of Congress Catalogue Number 2016935233
  • Quantity available 10

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Reader reviews for Linear Inverse Problems and Tikhonov Regularization

From the publisher

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.
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