Parameter-free iterative linear solvers

Author(s)

    • Weiss, Rüdiger

Bibliographic Information

Parameter-free iterative linear solvers

Rüdiger Weiss

(Mathematical research = Mathematische Forschung, v. 97)

Akademie Verlag, c1996

Available at  / 7 libraries

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Note

Bibliography: p. [194]-213

Includes index

Description and Table of Contents

Description

Presenting a unifying theoretical framework for iterative solvers for linear systems, this work focuses on parameter-free methods. Despite the generality of the approach, convergence estimates and geometrical properties can be derived. State-of-the-art solvers are surveyed and classified, and a valuation of established methods based on the theoretical results and numerical tests is given. Recipes for the application of particular techniques are derived. The criteria are efficiency, robustness and the possibility of parallelization. This book has a triple aim: to simplify the analysis by a unified theory; to survey and valuate state-of-the art solvers; and to give an introduction to iterative solvers for non-experts in the field.

Table of Contents

  • Necessities and Criterions
  • Introduction to Iterative Methods
  • Orthogonalization Methods
  • Krylov Subspace Methods
  • Transformation of Methods
  • Preconditioning
  • Numerical Stability
  • Efficiency on Supercomputers
  • Remarks and Annotations
  • Time Table
  • Notation
  • Bibliography
  • Index.

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Details

  • NCID
    BA29168445
  • ISBN
    • 3055017633
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    217 p.
  • Size
    24 cm
  • Parent Bibliography ID
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