This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
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Editorial Reviews
Review
`It is written in a very clear style, the material is well organized, and there is an extensive bibliography with 290 items. There is no doubt that this book belongs to the modern standard references on ill-posed and inverse problems. It can be recommended not only to mathematicians interested in this, but to students with a basic knowledge of functional analysis, and to scientists and engineers working in this field.'
Mathematical Reviews Clippings, 97k
`... it will be an extremely valuable tool for researchers in the field, who will find under the same cover and with unified notation material that is otherwise scattered in extremely diverse publications.'
SIAM Review, 41:2 (1999)
Mathematical Reviews Clippings, 97k
`... it will be an extremely valuable tool for researchers in the field, who will find under the same cover and with unified notation material that is otherwise scattered in extremely diverse publications.'
SIAM Review, 41:2 (1999)
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0 of 13 people found the following review helpful:
4.0 out of 5 stars
good ref. for civileng. in SI,
By yonghan,kim (south korea) - See all my reviews
This review is from: Regularization of Inverse Problems (Mathematics and Its Applications (closed)) (Hardcover)
Regularization of Inverse Problems is my favorite part of research...In civileng..that is rare so i will recommand this book for civil engineer in my contry.. good book thank.
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- Radar Imaging of Airborne Targets: A Primer for Applied Mathematicians and Physicists by Brett Borden on page 55, Back Matter (1), and Back Matter (2)
- Surveys on Solution Methods for Inverse Problems by David Colton on page 29, and page 52
- Integral Methods in Science and Engineering: Theoretical and Practical Aspects by M. Zuhair Nashed on page 96, and page 196
- Computational Inverse Techniques in Nondestructive Evaluation by G.R. Liu in Back Matter (1), and Back Matter (2)
- Scale-Space Theories in Computer Vision: Second International Conference, Scale-Space'99, Corfu, Greece, September 26-27, 1999, Proceedings (Lecture Notes in Computer Science) by Mads Nielsen on page 219, and page 494
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