Discrete Inverse Problems


Insight and Algorithms

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By Per Christian Hansen
Imprint:
SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
Release Date:
Format:
PAPERBACK
Dimensions:
254 x 178 mm
Weight:
420 g
Pages:
226

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Description

Per Christian Hansen is Professor of Scientific Computing at the Technical University of Denmark. His publications include two other books on inverse problems, several MATLAB packages, and many papers on inverse problems, matrix computations, and signal processing.

Preface; List of symbols; 1. Introduction and motivation; 2. Meet the Fredholm integral equation of the first kind; 3. Getting to business: discretizations of linear inverse problems; 4. Computational aspects: regularization methods; 5. Getting serious: choosing the regularization parameter; 6. Toward real-world problems: iterative regularization; 7. Regularization methods at work: solving real problems; 8. Beyond the 2-norm: the use of discrete smoothing norms; Appendix A. Linear algebra stuff; Appendix B. Symmetric Toeplitz-plus-Hankel matrices and the DCT; Appendix C. Early work on 'Tikhonov regularization'; Bibliography; Index.

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