| .. role:: hidden | 
 |     :class: hidden-section | 
 |  | 
 | torch.linalg | 
 | ============ | 
 |  | 
 | Common linear algebra operations. | 
 |  | 
 | See :ref:`Linear Algebra Stability` for some common numerical edge-cases. | 
 |  | 
 | .. automodule:: torch.linalg | 
 | .. currentmodule:: torch.linalg | 
 |  | 
 | Matrix Properties | 
 | ----------------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     norm | 
 |     vector_norm | 
 |     matrix_norm | 
 |     diagonal | 
 |     det | 
 |     slogdet | 
 |     cond | 
 |     matrix_rank | 
 |  | 
 | Decompositions | 
 | -------------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     cholesky | 
 |     qr | 
 |     lu | 
 |     lu_factor | 
 |     eig | 
 |     eigvals | 
 |     eigh | 
 |     eigvalsh | 
 |     svd | 
 |     svdvals | 
 |  | 
 | .. _linalg solvers: | 
 |  | 
 | Solvers | 
 | ------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     solve | 
 |     solve_triangular | 
 |     lu_solve | 
 |     lstsq | 
 |  | 
 | .. _linalg inverses: | 
 |  | 
 | Inverses | 
 | -------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     inv | 
 |     pinv | 
 |  | 
 | Matrix Functions | 
 | ---------------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     matrix_exp | 
 |     matrix_power | 
 |  | 
 | Matrix Products | 
 | --------------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     cross | 
 |     matmul | 
 |     vecdot | 
 |     multi_dot | 
 |     householder_product | 
 |  | 
 | Tensor Operations | 
 | ----------------- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     tensorinv | 
 |     tensorsolve | 
 |  | 
 | Misc | 
 | ---- | 
 |  | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     vander | 
 |  | 
 | Experimental Functions | 
 | ---------------------- | 
 | .. autosummary:: | 
 |     :toctree: generated | 
 |     :nosignatures: | 
 |  | 
 |     cholesky_ex | 
 |     inv_ex | 
 |     solve_ex | 
 |     lu_factor_ex | 
 |     ldl_factor | 
 |     ldl_factor_ex | 
 |     ldl_solve |