Linear Algebra
==============

.. https://docs.scipy.org/doc/numpy/reference/routines.linalg.html

Matrix and vector products
--------------------------

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

   dpnp.dot
   dpnp.linalg.multi_dot
   dpnp.vdot
   dpnp.inner
   dpnp.outer
   dpnp.matmul
   dpnp.tensordot
   dpnp.einsum
   dpnp.einsum_path
   dpnp.linalg.matrix_power
   dpnp.kron

Decompositions
--------------

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

   dpnp.linalg.cholesky
   dpnp.linalg.qr
   dpnp.linalg.svd

Matrix eigenvalues
------------------

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

   dpnp.linalg.eig
   dpnp.linalg.eigh
   dpnp.linalg.eigvals
   dpnp.linalg.eigvalsh

Norms and other numbers
-----------------------

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

   dpnp.linalg.norm
   dpnp.linalg.cond
   dpnp.linalg.det
   dpnp.linalg.matrix_rank
   dpnp.linalg.slogdet
   dpnp.trace


Solving linear equations
--------------------------

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

   dpnp.linalg.solve
   dpnp.linalg.tensorsolve
   dpnp.linalg.lstsq
   dpnp.linalg.inv
   dpnp.linalg.pinv
   dpnp.linalg.tensorinv