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Least Squares, Projections, and Pseudoinverses

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Part of the book series: Contemporary Mathematicians ((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

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Correspondence to Misha E. Kilmer .

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Kilmer, M.E., O’Leary, D.P. (2010). Least Squares, Projections, and Pseudoinverses. In: Kilmer, M.E., O’Leary, D.P. (eds) G.W. Stewart. Contemporary Mathematicians. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4968-5_6

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