Preface
Acknowledgements
1. Direct solution methods
2. Theory of matrix eigenvalues
3. Positive definite matrices, Schur complements, and generalized eigenvalue problems
4. Reducible and irreducible matrices and the Perron-Frobenius theory for nonnegative matrices
5. Basic iterative methods and their rates of convergence
6. M-matrices, convergent splittings, and the SOR method
7. Incomplete factorization preconditioning methods
8. Approximate matrix inverses and corresponding preconditioning methods
9. Block diagonal and Schur complement preconditionings
10. Estimates of eigenvalues and condition numbers for preconditional matrices
11. Conjugate gradient and Lanczos-type methods
12. Generalized conjugate gradient methods
13. The rate of convergence of the conjugate gradient method
Appendices.
