Format:
xii, 213 S.
ISBN:
9780898716962
Series Statement:
Fundamentals of algorithms
Content:
Contents: 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';
Content:
This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms
Note:
MAB0014.001: M 12.0258
,
MAB0036: m
