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From: Doug Birdwell <birdwell%HICKORY.ENGR.UTK.EDU@utkux1.utk.edu>
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To: dongarra@dasher.cs.utk.edu
Subject: sqred index (index for sqred subdirectory) file
Status: RO

Ralph Byers, Department of Mathematics, University of Kansas,
Lawrence, Kansas  66045, byers@na-net.stanford.edu
version dated Wed Oct  4 15:41:54 1989


      SQRED implements Van Loan's ``square reduced'' algorithm [1]
      for calculating all eigenvalues of a Hamiltonian matrix. This
      implementation appears in [2].


      References:
       [1] Charles Van Loan, ``A Symplectic Method for Approximating
           All Eigenvalues of a Hamiltonian Matrix'', Linear Algebra
           and Its Applications, volume 61, 1984, 233-251.

       [2] Ralph Byers, ``Hamiltonian and Symplectic Algorithms for
           the Algebraic Riccati Equation'', PhD dissertation, Center
           for Applied Mathematics, Cornell University, Ithaca, New
           York, 1983

The file sqred.f contains the required subroutines GENREF, VECREF, and SYMREF.
In addition DDOT, DCOPY, DROTG and DROTG from the LINPACK BLAS are also
required.


.