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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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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.