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Least Squares, Projections, and Pseudoinverses

  • Misha E. Kilmer
  • Dianne P. O’Leary
Part of the Contemporary Mathematicians book series (CM)

Abstract

These papers form a small sample of Stewart’s work on least squares, projec- 14 tions, and generalized inverses; see also [GWS-J23, GWS-J28, GWS-J60, GWS-J97, 15 GWS-J119, GWS-N5, GWS-N24], for example. Stewart’s focus in this area was to 16 put the understanding of generalized inverses on as firm a footing as that of the 17 usual matrix inverse. He proceeded by establishing continuity properties, effects of 18 scaling, and perturbation theory, using orthogonal projectors as a unifying frame- 19 work. 20

Keywords

Orthogonal Projector Generalize Inverse Invariant Norm Unitarily Invariant Norm Unify Frame 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsTufts UniversityMedfordUSA
  2. 2.Computer Science Department and Institute for Advanced Computer StudiesUniversity of MarylandCollege ParkUSA

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