Matrix Preconditioning Techniques and Applications

 1. Introduction; 2. Direct methods; 3. Iterative methods; 4. Matrix splitting preconditioners [t1]; 5. Approxi,ate inverse preconditioners [t2]; 6. Multilevel methods and preconditioners [t3]; 7. Multilevel recursive Schur complements preconditioners; 8. Wavelet preconditioners [t5] for ˆA n x n and ˆA -1 n x n; 9. Wavelet Schur preconditioners [t6]; 10. Implicit wavelet preconditioners [t7]; 11. Application I - acoustic scattering modelling; 12. Application II - coupled matrix problems; 13. Application III - image restoration and inverse problems; 14. Application IV-voltage stability in electrical power systems; 15. Parallel computing by examples.