function a = hess4_matrix ( )

%*****************************************************************************80
%
%% hess4_matrix() returns the HESS4 matrix.
%
%  Example:
%
%    4+8i  7+6i  7+10i 7+10i
%    9+9i  8+1i  8+10i 2 +5i
%    0     8+3i  7+ 2i 7 +8i
%    0     0     4+10i 0 +1i
%
%  Properties:
%
%    A is integral.
%
%    A is not symmetric.
%
%    A is complex.
%
%    A is upper Hessenberg.
%
%    A is not diagonally dominant.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    09 March 2018
%
%  Author:
%
%    John Burkardt
%
%  Output:
%
%    complex A(4,4), the matrix.
%
  a = [ ...
    4+8i,  7+6i,  7+10i, 7+10i; ...
    9+9i,  8+1i,  8+10i, 2+5i; ...
    0,     8+3i,  7+2i,  7+8i; ...
    0,     0,     4+10i, 0+1i ];

  return
end

