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Produktbild: Templates for the Solution of Linear Systems

Templates for the Solution of Linear Systems Building Blocks for Iterative Methods

55,99 €

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Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Abbildungen

Illustrations

Verlag

Society for Industrial & Applied Mathematics,U.S.

Seitenzahl

142

Maße (L/B/H)

25,6/18,1/0,8 cm

Gewicht

268 g

Sprache

Englisch

ISBN

978-0-89871-328-2

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Abbildungen

Illustrations

Verlag

Society for Industrial & Applied Mathematics,U.S.

Seitenzahl

142

Maße (L/B/H)

25,6/18,1/0,8 cm

Gewicht

268 g

Sprache

Englisch

ISBN

978-0-89871-328-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Templates for the Solution of Linear Systems


    • List of Symbols

    • List of Figures

    • Chapter 1: Introduction

    • Why Use Templates?

    • What Methods Are Covered?

    • Chapter 2: Iterative Methods

    • Overview of the Methods

    • Stationary Iterative Methods

    • The Jacobi Method

    • The Gauss-Seidel Method

    • The Successive Overrelaxation Method

    • The Symmetric Successive Overrelaxation Method

    • Notes and References

    • Nonstationary Iterative Methods

    • Conjugate Gradient Method (CG)

    • MINRES and SYMMLQ

    • CG on the Normal Equations, CGNE and CGNR

    • Generalized Minimal Residual (GMRES)

    • BiConjugate Gradient (BiCG)

    • Quasi-Minimal Residual (QMR)

    • Conjugate Gradient Squared Method (CGS)

    • BiConjugate Gradient Squared Method (Bi-CGSTAB)

    • Chebyshev Iteration

    • Computational Aspects of the Methods

    • A Short History of Krylov Methods

    • Survey of Recent Krylov Methods

    • Chapter 3: Preconditioners

    • The Why and How

    • Cost Trade-off

    • Left and right preconditioning

    • Jacobi Preconditioning

    • Block Jacobi Methods

    • Discussion

    • SSOR Preconditioning

    • Incomplete Factorization Preconditioners

    • Creating an Incomplete Factorization

    • Point Incomplete Factorizations

    • Block Factorization Methods

    • Incomplete LQ Factorization

    • Polynomial Preconditioners

    • Other Preconditioners

    • Preconditioning by the Symmetric Part

    • The Use of Fast Solvers

    • Alternating Direction Implicit Methods

    • Chapter 4: Related Issues

    • Complex Systems

    • Stopping Criteria

    • More Details about Stopping Criteria

    • When __ or ____ is not Readily Available

    • Estimating ____

    • Stopping When Progress is no Longer Being Made

    • Accounting for Floating Point Errors

    • Data Structures

    • Survey of Sparse Matrix Storage Formats

    • Matrix Vector Products

    • Sparse Incomplete Factorizations

    • Parallelism

    • Inner Products

    • Vector Updates

    • Matrix-vector Products

    • Preconditioning

    • Wavefronts in the Gauss-Seidel and Conjugate Gradient Methods

    • Blocked Operations in the GMRES Method

    • Chapter 5: Remaining Topics

    • The Lanczos Connection

    • Block and n - step Iterative Methods

    • Reduced System Preconditioning

    • Domain Decomposition Methods

    • Overlapping Subdomain Methods

    • Non-overlapping Subdomain Methods

    • Further Remarks

    • Multigrid Methods

    • Row Projection Methods

    • Appendix A: Obtaining the Software

    • Appendix B: Overview of the Blas

    • Appendix C: Glossary.