Iterative methods for linear systems : theory and applications

Includes index

Includes bibliography (p. 231-244) and references

1 Krylov subspace nethods
2 Toeplitz matrices and preconditioners
3 Multigrid preconditioners
4 Preconditioners by space decomposition
5 Some applications

Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.