def iddr_rid(m, n, matvect, k): """ Compute ID of a real matrix to a specified rank using random matrix-vector multiplication. :param m: Matrix row dimension. :type m: int :param n: Matrix column dimension. :type n: int :param matvect: Function to apply the matrix transpose to a vector, with call signature `y = matvect(x)`, where `x` and `y` are the input and output vectors, respectively. :type matvect: function :param k: Rank of ID. :type k: int :return: Column index array. :rtype: :class:`numpy.ndarray` :return: Interpolation coefficients. :rtype: :class:`numpy.ndarray` """ idx, proj = _id.iddr_rid(m, n, matvect, k) proj = proj[:k*(n-k)].reshape((k, n-k), order='F') return idx, proj