Observations on oblique projectors and pseudoinverses

  • Authors:
  • P.L. Ainsleigh

  • Affiliations:
  • Naval Undersea Warfare Center, Newport, RI

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1997

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Abstract

Oblique projectors (which were examined by Behrens and Scharf (see ibid., vol.42, no.6, p.1413-24, 1994)) are related to earlier work on oblique pseudoinverses and constrained least-squares methods and are reconsidered from the standpoint of orthogonal basis vectors and QR factorizations. Construction algorithms are presented that are numerically more stable than the normal-equations constructions previously used