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.. role:: hidden
    :class: hidden-section

torch.linalg

Common linear algebra operations.

See {ref}Linear Algebra Stability for some common numerical edge-cases.

{eval-rst}

.. automodule:: torch.linalg
.. currentmodule:: torch.linalg

Matrix Properties

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.. autosummary::
    :toctree: generated
    :nosignatures:

    norm
    vector_norm
    matrix_norm
    diagonal
    det
    slogdet
    cond
    matrix_rank

Decompositions

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.. autosummary::
    :toctree: generated
    :nosignatures:

    cholesky
    qr
    lu
    lu_factor
    eig
    eigvals
    eigh
    eigvalsh
    svd
    svdvals

(linalg solvers)=

Solvers

{eval-rst}

.. autosummary::
    :toctree: generated
    :nosignatures:

    solve
    solve_triangular
    lu_solve
    lstsq

(linalg inverses)=

Inverses

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.. autosummary::
    :toctree: generated
    :nosignatures:

    inv
    pinv

Matrix Functions

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.. autosummary::
    :toctree: generated
    :nosignatures:

    matrix_exp
    matrix_power

Matrix Products

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.. autosummary::
    :toctree: generated
    :nosignatures:

    cross
    matmul
    vecdot
    multi_dot
    householder_product

Tensor Operations

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.. autosummary::
    :toctree: generated
    :nosignatures:

    tensorinv
    tensorsolve

Misc

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.. autosummary::
    :toctree: generated
    :nosignatures:

    vander

Experimental Functions

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.. autosummary::
    :toctree: generated
    :nosignatures:

    cholesky_ex
    inv_ex
    solve_ex
    lu_factor_ex
    ldl_factor
    ldl_factor_ex
    ldl_solve