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This routine computes the Hessenberg decomposition of a square matrix A.
Given A, an unitary matrix Q is determined such that

      Q' A Q = H                and               Q' Q = Q Q' = 1

where H is an upper right Hessenberg matrix. Here ' denotes the hermitian
transpose (i.e. transposition and conjugation).

input:
  A            : a real or complex square matrix(more...)

src/s/y/sympy-0.7.5/sympy/mpmath/tests/test_eigen.py   sympy(Download)
    n = A.rows
 
    Q, H = mp.hessenberg(A)
 
    if verbose > 1: