G.W. Stewart

Selected Works with Commentaries

  • Misha E. Kilmer
  • Dianne P. O’Leary

Part of the Contemporary Mathematicians book series (CM)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. G. W. Stewart

    1. Front Matter
      Pages 1-1
    2. Iain S. Duff
      Pages 3-9
    3. Misha E. Kilmer, Dianne P. O’Leary
      Pages 11-21
  3. Commentaries

    1. Front Matter
      Pages 23-23
    2. Misha E. Kilmer, Dianne P. O’Leary
      Pages 25-25
    3. Charles F. Van Loan, Misha E. Kilmer, Dianne P. O’Leary
      Pages 27-44
    4. Lars Eldén, Misha E. Kilmer, Dianne P. O’Leary
      Pages 45-58
    5. Misha E. Kilmer, Dianne P. O’Leary
      Pages 59-69
    6. Zhaojun Bai
      Pages 105-109
    7. Howard C. Elman, Dianne P. O’Leary
      Pages 111-119
    8. Misha E. Kilmer, Dianne P. O’Leary
      Pages 121-123
    9. Back Matter
      Pages 1-14
  4. Reprints

    1. Front Matter
      Pages 135-135
    2. Misha E. Kilmer, Dianne P. O’Leary
      Pages 137-262
    3. Misha E. Kilmer, Dianne P. O’Leary
      Pages 263-339
    4. Misha E. Kilmer, Dianne P. O’Leary
      Pages 340-390
    5. Misha E. Kilmer, Dianne P. O’Leary
      Pages 391-520

About this book

Introduction

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 on rounding error in numerical computations provided basic understanding of floating-point computation. His results on perturbation of eigensystems, pseudo-inverses, least-squares problems, and matrix factorizations are fundamental to numerical practice today. His algorithms for the singular value decomposition, updating and downdating matrix factorizations, and the eigenproblem 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.

Key features of this volume include:

* 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 Stewart’s publications, students, and honors

* Selected photographs

* Commentaries on Stewart’s 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.

Keywords

Algebra Computer-Aided Design (CAD) History of Mathematics Krylov methods algorithms computational linear algebra eigenproblem floating point computation invariant subspaces matrix algorithms matrix decompositions matrix factorizations perturbation theory rounding theory singular value decomposition

Editors and affiliations

  • Misha E. Kilmer
    • 1
  • Dianne P. O’Leary
    • 2
  1. 1.Department of MathematicsTufts UniversityMedfordUSA
  2. 2.Computer Science Department and Institute for Advanced Computer StudiesUniversity of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4968-5
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4967-8
  • Online ISBN 978-0-8176-4968-5
  • About this book