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LINEAR INVERSE PROBLEMS AND TIKHONO

LINEAR INVERSE PROBLEMS AND TIKHONO

LINEAR INVERSE PROBLEMS AND TIKHONO
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LINEAR INVERSE PROBLEMS AND TIKHONO Hardback - 2016

by Mark Gockenbach

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The Mathematical Association of America. New.
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Details

  • Title LINEAR INVERSE PROBLEMS AND TIKHONO
  • Author Mark Gockenbach
  • Binding Hardback
  • Condition New
  • Pages 336
  • Volumes 1
  • Language ENG
  • Publisher The Mathematical Association of America
  • Publication date 2016
  • Illustrated Yes
  • Bookseller's Inventory # BW-9780883851418
  • 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 500

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Reader reviews for LINEAR INVERSE PROBLEMS AND TIKHONO

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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