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Recent Advances in Iterative Methods

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Gene Golub

    1. Department of Computer Science, Stanford University, Stanford, USA

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  2. Mitchell Luskin

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Anne Greenbaum

    1. Courant Institute of Mathematical Sciences, New York, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 60)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Some Themes in Gene H. Golub’s Work on Iterative Methods

    • Dianne P. O’Leary
    Pages 1-11

  3. Computing the Sparse Singular Value Decomposition via SVDPACK

    • Michael W. Berry
    Pages 13-29

  4. Gaussian Quadrature Applied to Adaptive Chebyshev Iteration

    • D. Calvetti, G. H. Golub, L. Reichel
    Pages 31-44

  5. Ordering Effects on Relaxation Methods Applied to the Discrete Convection-Diffusion Equation

    • Howard C. Elman, Michael P. Chernesky
    Pages 45-57

  6. On the Error Computation for Polynomial Based Iteration Methods

    • Bernd Fischer, Gene H. Golub
    Pages 59-67

  7. Transpose-Free Quasi-Minimal Residual Methods for Non-Hermitian Linear Systems

    • Roland W. Freund
    Pages 69-94

  8. Matrices that Generate the same Krylov Residual Spaces

    • Anne Greenbaum, Zdenek Strakos
    Pages 95-118

  9. Incomplete Block Factorizations as Preconditioners for Sparse SPD Matrices

    • L. Yu. Kolotilina, A. Yu. Yeremin
    Pages 119-133

  10. How Fast Can Iterative Methods Be

    • Olavi Nevanlinna
    Pages 135-147

  11. Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems

    • Axel Ruhe
    Pages 149-164

  12. Highly Parallel Preconditioners for General Sparse Matrices

    • Youcef Saad
    Pages 165-199

  13. A Two-Stage Iteration for Solving Nearly Completely Decomposable Markov Chains

    • G. W. Stewart, W. J. Stewart, D. F. McAllistert
    Pages 201-216

  14. Minimum Residual Modifications to BI-CG and to the Preconditioner

    • Henk A. van der Vorst
    Pages 217-225
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Keywords

About this book

This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra. " Large systems of matrix equations arise frequently in applications and they have the prop­ erty that they are sparse and/or structured. The purpose of this workshop was to bring together researchers in numerical analysis and various ap­ plication areas to discuss where such problems arise and possible meth­ ods of solution. The last two days of the meeting were a celebration dedicated to Gene Golub on the occasion of his sixtieth birthday, with the program arranged by Jack Dongarra and Paul van Dooren. We are grateful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for planning and implementing the year-long program. We especially thank Gene Golub, Anne Greenbaum, and Mitchell Luskin for organizing this workshop and editing the proceed­ ings. The financial support of the National Science Foundation and the Min­ nesota Supercomputer Institute made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE The solution of very large linear algebra problems is an integral part of many scientific computations.

Editors and Affiliations

  • Department of Computer Science, Stanford University, Stanford, USA

    Gene Golub

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Mitchell Luskin

  • Courant Institute of Mathematical Sciences, New York, USA

    Anne Greenbaum

Bibliographic Information

  • Book Title: Recent Advances in Iterative Methods

  • Editors: Gene Golub, Mitchell Luskin, Anne Greenbaum

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-9353-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Softcover ISBN: 978-1-4613-9355-9Published: 07 December 2011

  • eBook ISBN: 978-1-4613-9353-5Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XVI, 225

  • Topics: Numerical Analysis

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