G.W. Stewart

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

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.

• 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
• matrix theory

• 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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