1.. role:: hidden 2 :class: hidden-section 3 4torch.linalg 5============ 6 7Common linear algebra operations. 8 9See :ref:`Linear Algebra Stability` for some common numerical edge-cases. 10 11.. automodule:: torch.linalg 12.. currentmodule:: torch.linalg 13 14Matrix Properties 15----------------- 16 17.. autosummary:: 18 :toctree: generated 19 :nosignatures: 20 21 norm 22 vector_norm 23 matrix_norm 24 diagonal 25 det 26 slogdet 27 cond 28 matrix_rank 29 30Decompositions 31-------------- 32 33.. autosummary:: 34 :toctree: generated 35 :nosignatures: 36 37 cholesky 38 qr 39 lu 40 lu_factor 41 eig 42 eigvals 43 eigh 44 eigvalsh 45 svd 46 svdvals 47 48.. _linalg solvers: 49 50Solvers 51------- 52 53.. autosummary:: 54 :toctree: generated 55 :nosignatures: 56 57 solve 58 solve_triangular 59 lu_solve 60 lstsq 61 62.. _linalg inverses: 63 64Inverses 65-------- 66 67.. autosummary:: 68 :toctree: generated 69 :nosignatures: 70 71 inv 72 pinv 73 74Matrix Functions 75---------------- 76 77.. autosummary:: 78 :toctree: generated 79 :nosignatures: 80 81 matrix_exp 82 matrix_power 83 84Matrix Products 85--------------- 86 87.. autosummary:: 88 :toctree: generated 89 :nosignatures: 90 91 cross 92 matmul 93 vecdot 94 multi_dot 95 householder_product 96 97Tensor Operations 98----------------- 99 100.. autosummary:: 101 :toctree: generated 102 :nosignatures: 103 104 tensorinv 105 tensorsolve 106 107Misc 108---- 109 110.. autosummary:: 111 :toctree: generated 112 :nosignatures: 113 114 vander 115 116Experimental Functions 117---------------------- 118.. autosummary:: 119 :toctree: generated 120 :nosignatures: 121 122 cholesky_ex 123 inv_ex 124 solve_ex 125 lu_factor_ex 126 ldl_factor 127 ldl_factor_ex 128 ldl_solve 129