linalg.py 文件源码

def rrs(ax, b):
    r"""
    Compute relative residual :math:`\|\mathbf{b} - A \mathbf{x}\|_2 /
    \|\mathbf{b}\|_2` of the solution to a linear equation :math:`A \mathbf{x}
    = \mathbf{b}`. Returns 1.0 if :math:`\mathbf{b} = 0`.

    Parameters
    ----------
    ax : array_like
      Linear component :math:`A \mathbf{x}` of equation
    b : array_like
      Constant component :math:`\mathbf{b}` of equation

    Returns
    -------
    x : float
      Relative residual
    """

    nrm = linalg.norm(b.ravel())
    if nrm == 0.0:
        return 1.0
    else:
        return linalg.norm((ax - b).ravel()) / nrm