This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations.
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Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today.
Preface; 1. Background in linear algebra; 2. Discretization of partial differential equations; 3. Sparse matrices; 4. Basic iterative methods; 5. Projection methods; 6. Krylov subspace methods Part I; 7. Krylov subspace methods Part II; 8. Methods related to the normal equations; 9. Preconditioned iterations; 10. Preconditioning techniques; 11. Parallel implementations; 12. Parallel preconditioners; 13. Multigrid methods; 14. Domain decomposition methods; Bibliography; Index.
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