function A = jacobi_fail_matrix ( )

%*****************************************************************************80
%
%% jacobi_fail_matrix() returns the JACOBI_FAIL matrix.
%
%  Example:
%
%    29.0, 2.0, 1.0
%     2.0, 6.0, 1.0
%     1.0, 1.0, 0.2
%
%  Properties:
%
%    A is symmetric: A' = A.
%
%    Because A is symmetric, it is normal.
%
%    Because A is normal, it is diagonalizable.
%
%    A is positive definite.
%
%    A is positive definite symmetric.
%
%    The Jacobi iteration is not guaranteeed to converge when applied to A
%    because the Jacobi iteration matrix will have a specral radius of 1.0661.
%
%    A is not diagonally dominant.
%
%  Licensing:
%
%    This code is distributed under the MIT license.
%
%  Modified:
%
%    16 December 2019
%
%  Author:
%
%    John Burkardt
%
%  Reference:
%
%    https://en.wikipedia.org/wiki/Jacobi_method
%
%  Output:
%
%    real A(3,3), the matrix.
%
  A = [ 29.0, 2.0, 1.0; ...
         2.0, 6.0, 1.0; ...
         1.0, 1.0, 0.2 ];

  return
end

