G.W. Stewart Selected Works with Commentaries /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kilmer, Misha E. (Editor), O'Leary, Dianne P. (Editor)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Series: Contemporary Mathematicians
• Subjects: Mathematics.; Matrix theory.; Computer science > Mathematics.; Algorithms.; Mathematics_$xHistory.; Engineering mathematics.; Linear and Multilinear Algebras, Matrix Theory.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; History of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4968-5

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 theo...

Table of Contents:

• Foreword
• Part I. G.W. Stewart
• Biography of G.W. Stewart
• Publications, Honors, and Students
• Part II. Commentaries
• Introduction to the Commentaries
• Matrix Decompositions: LINPACK and Beyond
• Updating and Downdating Matrix Decompositions
• Least Squares, Projections, and Psuedo-Inverses
• The Eigenproblem and Invariant Subspaces: Perturbation Theory
• The SVD, Eigenproblem, and Invariant Subspaces: Algorithms
• The Generalized Eigenproblem
• Krylov Subspace Methods for the Eigenproblem
• Other Contributions
• References
• Index
• Part III. Reprints
• Papers on Matrix Decompositions
• Papers on Updating and Downdating Matrix Decompositions
• Papers on Least Squares, Projections, and Generalized Inverses
• Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory
• Papers on the SVD, Eigenproblem and Invariant Subspaces: Algorithms
• Papers on the Generalized Eigenproblem
• Papers on Krylov Subspace Methods for the Eigenproblem.