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Produktbild: Templates for the Solution of Linear Systems

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

Fr. 88.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Abbildungen

mit Illustrationen

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

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Abbildungen

mit Illustrationen

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.