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G.W. Stewart

Selected Works with Commentaries

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  • © 2010

Overview

Editors:
  1. Misha E. Kilmer

    1. Department of Mathematics, Tufts University, Medford, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Dianne P. O’Leary

    1. Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Celebrates and honors the work of G.W. Stewart, a world-renowned expert in computational linear algebra.
  • Comprehensively includes forty-four of Stewart's most influential research papers in two subject areas: matrix algorithms, and rounding and perturbation theory.
  • Includes a biography of Stewart.
  • Include Commentaries on Stewart’s works in collaboration with leading experts in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiii
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  2. G. W. Stewart

    1. Front Matter

      Pages 1-1
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    2. Biography of G. W. Stewart

      • Iain S. Duff
      Pages 3-9

    3. Publications, Honors, and Students

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 11-21

  3. Commentaries

    1. Front Matter

      Pages 23-23
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    2. Introduction to the Commentaries

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 25-25

    3. Matrix Decompositions: Linpack and Beyond

      • Charles F. Van Loan, Misha E. Kilmer, Dianne P. O’Leary
      Pages 27-44

    4. Updating and Downdating Matrix Decompositions

      • Lars Eldén, Misha E. Kilmer, Dianne P. O’Leary
      Pages 45-58

    5. Least Squares, Projections, and Pseudoinverses

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 59-69

    6. The Eigenproblem and Invariant Subspaces: Perturbation Theory

      • Ilse C. F. Ipsen
      Pages 71-93

    7. The SVD, Eigenproblem, and Invariant Subspaces: Algorithms

      • James W. Demmel
      Pages 95-104

    8. The Generalized Eigenproblem

      • Zhaojun Bai
      Pages 105-109

    9. Krylov Subspace Methods for the Eigenproblem

      • Howard C. Elman, Dianne P. O’Leary
      Pages 111-119

    10. Other Contributions

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 121-123

  4. Back Matter

    Pages 1-14
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  5. Reprints

    1. Front Matter

      Pages 135-135
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    2. Papers on Matrix Decompositions

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 137-262

    3. Papers on Updating and Downdating Matrix Decompositions

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 263-339

    4. Papers on Least Squares, Projections, and Generalized Inverses

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 340-390

    5. Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory

      • Misha E. Kilmer, Dianne P. O’Leary
      Pages 391-520
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Keywords

About this book

Published in honor of his 70th birthday, this volume explores and celebrates the work of G.W. (Pete) Stewart, a world-renowned expert in computational linear algebra. It is widely accepted that Stewart is the successor to James Wilkinson, the first giant in the field, taking up the perturbation theory research that Wilkinson so ably began and using it as a foundation for algorithmic insights. Stewart’s results in many areas of computational linear algebra broke new ground and are still widely used in an increasing number of applications. Stewart’s papers, widely cited, are characterized by elegance in theorems and algorithms and clear, concise, and beautiful exposition. His six popular textbooks are excellent sources of knowledge and history. Stewart is a member of the National Academy of Engineering and has received numerous additional honors, including the Bauer Prize. This volume includes: forty-four of Stewart's most influential research papers in two subject areas: matrix algorithms, and rounding and perturbation theory; a biography of Stewart; a complete list of his publications, students, and honors; selected photographs; and commentaries on his works in collaboration with leading experts in the field. G.W. Stewart: Selected Works with Commentaries will appeal to graduate students, practitioners, and researchers in computational linear algebra and the history of mathematics.

Editors and Affiliations

  • Department of Mathematics, Tufts University, Medford, USA

    Misha E. Kilmer

  • Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, USA

    Dianne P. O’Leary

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