BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-72-322
       ENTRY:: October 16, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Methods for modifying matrix factorizations.
        TYPE:: Technical Report
      AUTHOR:: Gill, Phillip E.
      AUTHOR:: Golub, Gene H.
      AUTHOR:: Murray, Walter A.
      AUTHOR:: Saunders, Michael A.
        DATE:: November 1972
       PAGES:: 63
    ABSTRACT:: In recent years several algorithms have appeared for
               modifying the factors of a matrix following a rank-one
               change. These methods have always been given in the context
               of specific applications and this has probably inhibited
               their use over a wider field. In this report several methods
               are described for modifying Cholesky factors. Some of these
               have been published previously while others appear for the
               first time. In addition, a new algorithm is presented for
               modifying the complete orthogonal factorization of a general
               matrix, from which the conventional QR factors are obtained
               as a special case. A uniform notation has been used and
               emphasis has been placed on illustrating the similarity
               between different methods.
       NOTES:: [Adminitrivia V1/Prg/19951016]
         END:: STAN//CS-TR-72-322