BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//NA-M-90-06
       ENTRY:: January 28, 1996
ORGANIZATION:: Stanford University, Department of Computer Science, Numerical
               Analysis Project
       TITLE:: The nonsymmetric Lanczos algorithm and controllability
        TYPE:: Manuscript
      AUTHOR:: Boley, Daniel L.
      AUTHOR:: Golub, Gene H.
        DATE:: May 1990
       PAGES:: 18
    ABSTRACT:: We give a brief description of a non-symmetric Lanczos
               algorithm that does not require strict bi-orthogonality among
               the generated vectors. We show how the vectors generated are
               algebraically related to "Controllable Space" and "Observable
               Space" for a related linear dynamical system. The algorithm
               described is particularly appropriate for large sparse
               systems.
       NOTES:: [Adminitrivia V1/Prg/19960128]
         END:: STAN//NA-M-90-06