Normal view MARC view ISBD view

Iterative Methods for Large Linear Systems.

By: Kincaid, David R.
Contributor(s): Hayes, Linda J.
Material type: TextTextSeries: eBooks on Demand.Publisher: Burlington : Elsevier Science, 2014Description: 1 online resource (350 p.).ISBN: 9781483260204.Subject(s): Iterative methods (Mathematics) | Iterative methods (Mathematics) -- Congresses | Parallel processing (Electronic computers) -- Congresses | Vector processing (Computer science) | Vector processing (Computer science) -- CongressesGenre/Form: Electronic books.Additional physical formats: Print version:: Iterative Methods for Large Linear SystemsDDC classification: 519.5/42 | 519.542 Online resources: Click here to view this ebook.
Contents:
Front Cover; Iterative Methods for Large Linear Systems; Copyright Page; Preface; Authors of Chapters; Papers Presented at Conference; Professor David M. Young, Jr.; Photographs from Conference; Table of Contents; Chapter1. Fourier Analysis of Two-Level Hierarchical Basis Preconditioners; 1 Introduction; 21D, Linear S; 3 2D, Bilinear S, Bilinear A; 4 2D, Bilinear, 5-Point A; 5 3D, Trilinear S, 7-Point A; 6 Concluding Remarks; Acknowledgements; References; Chapter 2. An Algebraic Framework for Hierarchical Basis Functions Multilevel Methods or the Search for 'Optimal'Preconditioners
1 Introduction2 The Algebraic Framework for Two-Level Hierarchical Basis FunctionMethods; 3 Recursive Definition of Preconditioner; 4 The Relative Condition Number of Mwith Respect to A; 5 Concluding Remarks; References; Chapter 3.ELLPACK and ITPACK as Research Tools for Solving Elliptic Problems; 1 Background; 2 ELLPACK andITPACK; 3 Some Basic Questions; 4 Direct vs. Iterative Methods; 5 Different Elliptic Problems; 6Symmetry; 7 Extended Network Analogy; 8 Orders of Accuracy; 9 Choice of Mesh; 10 Computational Complexity; 11 3D Problems; Acknowledgement; References
Chapter 4. Preconditioned Iterative Methods for Indefinite Symmetric ToeplitzSystems1 Introduction; 2 Toeplitz and Circulant Matrices; 3 Solution Methods; 4 Test Matrix Preconditioners; 5 Test Matrices; 6 Computed Spectra; Acknowlegements; References; Chapter 5.A Local Relaxation Scheme (Ad-Hoc SOR) Applied to Nine Pointand Block Difference Equations; 1 History; 2 The Method; 3 Nine Point Application: Cross Derivatives; 4 Block Iteration; Acknowledgements; References; Chapter 6. Block Iterative Methods for Cyclically Reduced Non-Self-AdjointElliptic Problems; 1 Introduction
2 The Reduced System for the Convection-Diffusion Equation3 Bounds for Solving the Convection-Diffusion Equation; 4 Numerical Expe; Acknowledgements; References; Chapter 7.Toward an Effective Two-Parameter SOR Method; 1 Background; 2 Singular Value Decomposition and Orthogonal Similarities; 3 Two-Parameter SOR; 4 A Numerical Example; Acknowledgements; References; Appendix; Chapter 8. Relaxation Parameters for the IQE Iterative Procedure for Solving Semi-Implicit Navier-StokesDifference Equations; 1 Introduction; 2 The Continuous and Discrete Problems; 3 The IQE Iterative Method
4 The Calculation ofw5 Numerical Results; Acknowledgements; References; Chapter 9.Hodie Approximation of Boundary Conditions; 1 Introduction; 2 Approximation 'Away from the Boundary' ; 3 Hodie as Interpolation; 4 Boundary Conditions; 5 Extension of Ui,j toΩ; 6 Indexing of Unknowns; 7 Eigenproblems; Acknowledgements; References; Chapter 10.Iterative Methods for Nonsymmetric Linear Systems; 1 Introduction; 2 Projection Methods; 3 Krylov Projection Methods; 4 Semi-Krylov Projection Methods; 5 Non-polynomial Projection Methods; 6 Non-projection Polynomial Methods; 7 Conclusion; Acknowledgements
References
Summary: Iterative Methods for Large Linear Systems
Tags from this library: No tags from this library for this title. Log in to add tags.
Item type Current location Call number URL Status Date due Barcode
Electronic Book UT Tyler Online
Online
QA279.4 .S743 2014 (Browse shelf) http://uttyler.eblib.com/patron/FullRecord.aspx?p=1901617 Available EBL1901617

Front Cover; Iterative Methods for Large Linear Systems; Copyright Page; Preface; Authors of Chapters; Papers Presented at Conference; Professor David M. Young, Jr.; Photographs from Conference; Table of Contents; Chapter1. Fourier Analysis of Two-Level Hierarchical Basis Preconditioners; 1 Introduction; 21D, Linear S; 3 2D, Bilinear S, Bilinear A; 4 2D, Bilinear, 5-Point A; 5 3D, Trilinear S, 7-Point A; 6 Concluding Remarks; Acknowledgements; References; Chapter 2. An Algebraic Framework for Hierarchical Basis Functions Multilevel Methods or the Search for 'Optimal'Preconditioners

1 Introduction2 The Algebraic Framework for Two-Level Hierarchical Basis FunctionMethods; 3 Recursive Definition of Preconditioner; 4 The Relative Condition Number of Mwith Respect to A; 5 Concluding Remarks; References; Chapter 3.ELLPACK and ITPACK as Research Tools for Solving Elliptic Problems; 1 Background; 2 ELLPACK andITPACK; 3 Some Basic Questions; 4 Direct vs. Iterative Methods; 5 Different Elliptic Problems; 6Symmetry; 7 Extended Network Analogy; 8 Orders of Accuracy; 9 Choice of Mesh; 10 Computational Complexity; 11 3D Problems; Acknowledgement; References

Chapter 4. Preconditioned Iterative Methods for Indefinite Symmetric ToeplitzSystems1 Introduction; 2 Toeplitz and Circulant Matrices; 3 Solution Methods; 4 Test Matrix Preconditioners; 5 Test Matrices; 6 Computed Spectra; Acknowlegements; References; Chapter 5.A Local Relaxation Scheme (Ad-Hoc SOR) Applied to Nine Pointand Block Difference Equations; 1 History; 2 The Method; 3 Nine Point Application: Cross Derivatives; 4 Block Iteration; Acknowledgements; References; Chapter 6. Block Iterative Methods for Cyclically Reduced Non-Self-AdjointElliptic Problems; 1 Introduction

2 The Reduced System for the Convection-Diffusion Equation3 Bounds for Solving the Convection-Diffusion Equation; 4 Numerical Expe; Acknowledgements; References; Chapter 7.Toward an Effective Two-Parameter SOR Method; 1 Background; 2 Singular Value Decomposition and Orthogonal Similarities; 3 Two-Parameter SOR; 4 A Numerical Example; Acknowledgements; References; Appendix; Chapter 8. Relaxation Parameters for the IQE Iterative Procedure for Solving Semi-Implicit Navier-StokesDifference Equations; 1 Introduction; 2 The Continuous and Discrete Problems; 3 The IQE Iterative Method

4 The Calculation ofw5 Numerical Results; Acknowledgements; References; Chapter 9.Hodie Approximation of Boundary Conditions; 1 Introduction; 2 Approximation 'Away from the Boundary' ; 3 Hodie as Interpolation; 4 Boundary Conditions; 5 Extension of Ui,j toΩ; 6 Indexing of Unknowns; 7 Eigenproblems; Acknowledgements; References; Chapter 10.Iterative Methods for Nonsymmetric Linear Systems; 1 Introduction; 2 Projection Methods; 3 Krylov Projection Methods; 4 Semi-Krylov Projection Methods; 5 Non-polynomial Projection Methods; 6 Non-projection Polynomial Methods; 7 Conclusion; Acknowledgements

References

Iterative Methods for Large Linear Systems

Description based upon print version of record.

There are no comments for this item.

Log in to your account to post a comment.