• DocumentCode
    1114550
  • Title

    Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses

  • Author

    Sen, S.K. ; Krishnamurthy, E.V.

  • Author_Institution
    Computer Centre, Indian Institute of Science
  • Issue
    2
  • fYear
    1974
  • Firstpage
    199
  • Lastpage
    201
  • Abstract
    A rank-augmnented LU-algorithm is suggested for computing a generalized inverse of a matrix. Initially suitable diagonal corrections are introduced in (the symmetrized form of) the given matrix to facilitate decomposition; a backward-correction scheme then yields a desired generalized inverse.
  • Keywords
    Generalized inverse, Hermite-difference matrix, least squares g-inverse, LU-algorithm, minimum norm g-inverse, pseudo-inverse, redundant conrection.; Least squares approximation; Least squares methods; Matrix decomposition; Generalized inverse, Hermite-difference matrix, least squares g-inverse, LU-algorithm, minimum norm g-inverse, pseudo-inverse, redundant conrection.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1974.223888
  • Filename
    1672481