Matrix Preconditioning Techniques and Applications
Autor Ke Chenen Limba Engleză Hardback – 25 iul 2005
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Specificații
ISBN-13: 9780521838283
ISBN-10: 0521838282
Pagini: 592
Ilustrații: 95 b/w illus. 5 tables
Dimensiuni: 160 x 235 x 32 mm
Greutate: 1.01 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521838282
Pagini: 592
Ilustrații: 95 b/w illus. 5 tables
Dimensiuni: 160 x 235 x 32 mm
Greutate: 1.01 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
' … packed with matehmatical description relevant for various types of preconditioning for (in particular) non-symmetric matrix equations. it could be of considerable use in introducing applicaitons scientists to possible preconditioning approaches.' Journal of Fluid Mechanics
'... a very well-written and complete book which presents a lot of recent and original algorithms of utmost importance. ...this is a good investment if you are interested in these topics or if you want to have a good overview.' Zentralblatt MATH
'… offers a comprehensive introduction to this subject … a very rich book that will serve as a reference for students in applied mathematics, numerical analysis, and applied sciences, and for engineers as well.' Numerical Algorithms
'... a very well-written and complete book which presents a lot of recent and original algorithms of utmost importance. ...this is a good investment if you are interested in these topics or if you want to have a good overview.' Zentralblatt MATH
'… offers a comprehensive introduction to this subject … a very rich book that will serve as a reference for students in applied mathematics, numerical analysis, and applied sciences, and for engineers as well.' Numerical Algorithms
Descriere
A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.