Buch, Englisch, Band 2, 218 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1120 g
Buch, Englisch, Band 2, 218 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1120 g
Reihe: Combinatorics and Computer Science
ISBN: 978-1-4020-0830-6
Verlag: Springer Netherlands
This volume contains the latest developments in the use of iterative methods to block Toeplitz systems. These systems arise in a variety of applications in mathematics, scientific computing, and engineering, such as image processing, numerical differential equations and integral equations, time series analysis, and control theory. Iterative methods such as Krylov subspace methods and multigrid methods are proposed to solve block Toeplitz systems. One of the main advantages of these iterative methods is that the operation cost of solving a large class of × block Toeplitz systems only requires ( log ) operations.
This book is the first book on Toeplitz iterative solvers and it includes recent research results. The author belongs to one of the most important groups in the field of structured matrix computation. The book is accessible to readers with a working knowledge of numerical linear algebra. It should be of interest to everyone who deals with block Toeplitz systems, numerical linear algebra, partial differential equations, ordinary differential equations, image processing, and approximation theory.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
Preface.
1. Introduction.
2. Block Circulant Preconditioners.
3. BCCB Preconditioners from Kernels.
4. Fast Algorithm for Tensor Structure.
5. Block Toeplitz LS Problems.
6. Block {omega}-Circulant Preconditioners.
7. Non-Circulant Block Preconditioners.
8. Multigrid Block Toeplitz Solvers.
9. Applications in Second-Order PDEs.
10. Applications in First-Order PDEs.
11. Applications in ODEs and DAEs.
12. Applications in Image Processing.
Bibliography. Index.
