Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Recommended product

Popular links

Popular links


Discrete Inverse Problems

Discrete Inverse Problems

Discrete Inverse Problems

Insight and Algorithms
Per Christian Hansen, Technical University of Denmark, Lyngby
March 2010
Paperback
9780898716962
CAD$88.95
Paperback

    This acclaimed book introduces the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, it demonstrates that insight about them and algorithms go hand in hand. Discrete Inverse Problems includes a number of tutorial exercises that give the reader hands-on experience with the methods, and challenges associated with the treatment of inverse problems. It includes carefully constructed illustrative computed examples and figures that highlight the important issues in the theory and algorithms. This book is written for graduate students, researchers, and professionals in engineering and other areas that depend on solving inverse problems with noisy data. It aims to provide readers with enough background that they can solve simple inverse problems and read more advanced literature on the subject.

    • Careful constructive illustrative computed examples enhance understanding
    • Tutorial exercises provide practice
    • The text can either act as a stand-alone guide to elementary inverse problem solving, or as a preparatory volume for those wishing to tackle more advanced literature

    Product details

    March 2010
    Paperback
    9780898716962
    226 pages
    254 × 178 × 12 mm
    0.42kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Table of Contents

    • 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.
    Resources for
    Type
    Author's web page