Krylov solvers for linear algebraic systems /

The first four chapters of this book give a comprehensive and unified theory of the Krylov methods. Many of these are shown to be particular examples of the block conjugate-gradient algorithm and it is this observation that permits the unification of the theory. The two major sub-classes of those me...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Broyden, C. G. (Charles George)
Other Authors: Vespucci, M. T. (Maria Teresa)
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier, 2004.
Edition:1st ed.
Series:Studies in computational mathematics ; 11.
Subjects:
Equations > Numerical solutions.
Algebras, Linear.
�Equations > Solutions num�eriques.
Alg�ebre lin�eaire.
MATHEMATICS > Algebra > Elementary.
Algebras, Linear
Equations > Numerical solutions
Online Access:Texto completo
Texto completo
Texto completo
Table of Contents:
  • Contents
  • 1. Introduction.
  • 2. The long recurrences.
  • 3. The short recurrences.
  • 4. The Krylov aspects.
  • 5. Transpose-free methods.
  • 6. More on QMR.
  • 7. Look-ahead methods.
  • 8. General block methods.
  • 10. And in practice??
  • 11. Preconditioning.
  • 12. Duality.
  • Appendices.
  • A. Reduction of upper Hessenberg matrix to upper triangular form by plane rotations.
  • B. Schur complements.
  • C. The Jordan form.
  • D. Chebychev polynomials.
  • E. The companion matrix.
  • F. Algorithmic details.

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