Regularization of ill-posed problems using (symmetric) Cauchy-like preconditioners

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3461, Issue , 1998, Pages 381-392

  Kilmer, M E ^a  

^a Northeastern University   (United States)

Author keywords

Cauchy like; Deblurring; Image processing; Minimal residual; Regularization; Toeplitz

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SPURIOUS SIGNAL NOISE;

DEBLURRING;

IMAGE PROCESSING;

EID: 0032225401     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.325698     Document Type: Conference Paper

References (20)

1. Pivoted Cauchy-like preconditioners for regularized solution of ill-posed problems
2. Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
3. Solution of sparse indefinite systems of linear equations
4. The use of pivoting to improve the numerical performance of Toeplitz matrix algorithms
5. Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems
6. A look-ahead Levinson algorithm for general Toeplitz systems
7. Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. I. Transformations
8. Fast Gaussian elimination with partial pivoting of matrices with displacement structure
9. Pitfalls in the numerical solution of linear ill-posed problems
10. The discrete Picard condition for discrete ill-posed problems
11. The rate of convergence of conjugate gradients
12. A family of block preconditioners for block systems
13. A general heuristic for choosing the regularization parameter in ill-posed problems
14. The use of the l-curve in the regularization of discrete ill-posed problems
15. Preconditioned iterative regularization for ill-posed problems