BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//NA-M-91-03
       ENTRY:: January 28, 1996
ORGANIZATION:: Stanford University, Department of Computer Science, Numerical
               Analysis Project
       TITLE:: Direct block tridiagonalization of single-input single-output
               systems
        TYPE:: Manuscript
      AUTHOR:: Golub, Gene H.
      AUTHOR:: Kagstrom, Bo T.
      AUTHOR:: Dooren, Paul M. Van
        DATE:: July 1991
       PAGES:: 15
    ABSTRACT:: In this paper we derive a direct method for block
               tridiagonalizing a single-input single-output system triple
               $/{A,b,c/}$. The method is connected to the nonsymmetric
               Lanczos procedure developed in [Wilkinson, 1965][Boley/Golub,
               1990][Boley/Elhay/Golub/Gutknecht, 1990] and also leads to
               canonical representations of such triples.
       NOTES:: [Adminitrivia V1/Prg/19960128]
         END:: STAN//NA-M-91-03