File: hess.cat

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hess(G)                        Scilab Function                        hess(G)
NAME
  hess - Hessenberg form

CALLING SEQUENCE
  H = hess(A)
  [U,H] = hess(A)

PARAMETERS

  A    : real or complex square matrix

  H    : real or complex square matrix

  U    : orthogonal or unitary square matrix

DESCRIPTION
  [U,H] = hess(A) produces a unitary matrix U and a Hessenberg matrix H so
  that A = U*H*U' and U'*U = Identity.  By itself, hess(A) returns H.

  The Hessenberg form of a matrix is zero below the first subdiagonal. If the
  matrix is symmetric or Hermitian, the form is tridiagonal.

EXAMPLE
  A=rand(3,3);[U,H]=hess(A);
  and( abs(U*H*U'-A)<1.d-10 )

SEE ALSO
  qr, contr, schur