Iterative Solution of Large Sparse Systems of Equations

Part I. Linear Iterations

1. Introduction
Wolfgang Hackbusch

2. Iterative Methods
Wolfgang Hackbusch

3. Classical Linear Iterations in the Positive Definite Case
Wolfgang Hackbusch

4. Analysis of Classical Iterations Under Special Structural Conditions
Wolfgang Hackbusch

5. Algebra of Linear Iterations
Wolfgang Hackbusch

6. Analysis of Positive Definite Iterations
Wolfgang Hackbusch

7. Genenration of Iterations
Wolfgang Hackbusch

Part II. Semi-Iterations and Krylov Methods

8. Semi-Iterative Methods
Wolfgang Hackbusch

9. Gradient Method
Wolfgang Hackbusch

10. Conjugate Gradient Methods and Generalisations
Wolfgang Hackbusch

Part III. Special Iterations

11. Multigrid Iterations
Wolfgang Hackbusch

12. Domain Decomposition and Subspace Methods
Wolfgang Hackbusch

13.
mathcal {H}-LU Iteration
Wolfgang Hackbusch

14. Tensor-based Methods
Wolfgang Hackbusch

Avainsanat: Mathematics, Numerical Analysis, Linear and Multilinear Algebras, Matrix Theory, Partial Differential Equations