Titlebook: G.W. Stewart; Selected Works with Misha E. Kilmer,Dianne P. O’Leary Book 2010 Springer Science+Business Media, LLC 2010 Algebra.Computer-A

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Organisation und Geschichte des Kongresses,In this collection of papers, Pete Stewart established the foundations for the perturbation theory of invariant subspaces. He introduced two crucial concepts that allow a systematic approach toward such a perturbation theory: subspace rotation and operator separation. These two concepts form the guiding principle in most of these papers.

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50 Jahre Universitäts-Informatik in MünchenThe preceding seven chapters of this commentary had outlined some of Stewart’s important contributions to matrix algorithms and matrix perturbation theory.

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Publications, Honors, and StudentsDissertation: G. W. Stewart III, “Some Topics in Numerical Analysis,” University of Tennessee. Published as Technical Report ORNL-4303, Oak Ridge National Laboratory, September 1968.

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Introduction to the CommentariesIn research spanning over 40 years, G.W. (Pete) Stewart has made foundational contributions to numerical linear algebra.

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The Eigenproblem and Invariant Subspaces: Perturbation TheoryIn this collection of papers, Pete Stewart established the foundations for the perturbation theory of invariant subspaces. He introduced two crucial concepts that allow a systematic approach toward such a perturbation theory: subspace rotation and operator separation. These two concepts form the guiding principle in most of these papers.

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Krylov Subspace Methods for the EigenproblemThese papers comprise some of Stewart’s recent contributions to the development and analysis of iterative algorithms based on Krylov subspace methods for computing eigenvalues.

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