Regularization Methods in Banach Spaces (eng)
Language: English
Published by De Gruyter, 2012
Series: Book 9 of 28 - Radon Series on Computational and Applied Mathematics
- Hardcover
- New
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- Title
- Regularization Methods in Banach Spaces (eng)
- Author
- Schuster, Thomas
- Publisher
- De Gruyter
- Publication year
- 2012
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3110255243
- ISBN 13
- 9783110255249
- Item weight
- 0.64 kilograms
- Series
- Book 9 of 28: Radon Series on Computational and Applied Mathematics
Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods.
This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gauß-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.
"Synopsis" may belong to another edition of this title.
About the Author
Thomas Schuster, Carl von Ossietzky Universität Oldenburg, Germany; Barbara Kaltenbacher, University of Stuttgart, Germany; Bernd Hofmann, Chemnitz University of Technology, Germany; Kamil S. Kazimierski, University of Bremen, Germany.
"About the title" may belong to another edition of this title.
Brook Bookstore On Demand
Napoli, NA, Italy
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Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
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