code: def add_diagonal(input: Anysor, diag: Tensor) -> LinearOperator:
      r"""
      Adds an element to the diagonal of the matrix :math:`\mathbf A`.
  
      :param input: The matrix (or batch of matrices) :math:`\mathbf A` (... x N x N).
      :param diag: Diagonal to add
      :return: :math:`\mathbf A + \text{diag}(\mathbf d)`, where :math:`\mathbf A` is the linear operator
          and :math:`\mathbf d` is the diagonal component
      """
      return linear_operator.add_diagonal(input=input, diag=diag)
  
imports: from typing import Optional, Tuple, Union
  import linear_operator
  import torch
  from linear_operator import LinearOperator
  from torch import Tensor
  from .None import beta_features, distributions, kernels, lazy, likelihoods, means, metrics, mlls, models, optim, priors, settings, utils, variational
  from .functions import inv_matmul, log_normal_cdf, logdet, matmul
  from .lazy import cat, delazify, lazify
  from .mlls import ExactMarginalLogLikelihood
  from .module import Module
label_desc: Use image node_id 1 for calling a global function with example usage: add_diagonal(input, diag) and returns: linear_operator