t3_linalg
=========


.. py:module:: t3toolbox.backend.t3_linalg

.. autoapi-nested-parse::

   Linear algebra on ragged t3 data, defined w.r.t. the REPRESENTED dense tensor.

   ``t3_add``/``t3_scale``/``t3_inner_product``/``t3_norm``/``t3_mult`` and the ``t3m_*`` forms
   simulate operations on the dense tensor, using the cores only as a computational device (add
   concatenates ranks; nothing here is corewise). ``t3_sum_stack`` is the rank-growing tensor sum
   over a stack -- not the rank-preserving corewise core sum.



Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/t3_linalg/t3_add
   /autoapi/t3toolbox/backend/t3_linalg/t3_sum_stack
   /autoapi/t3toolbox/backend/t3_linalg/t3_scale
   /autoapi/t3toolbox/backend/t3_linalg/t3_inner_product
   /autoapi/t3toolbox/backend/t3_linalg/t3_norm
   /autoapi/t3toolbox/backend/t3_linalg/t3_mult
   /autoapi/t3toolbox/backend/t3_linalg/t3m_form_then_round
   /autoapi/t3toolbox/backend/t3_linalg/t3m_inplace_fused
   /autoapi/t3toolbox/backend/t3_linalg/t3m_swap
   /autoapi/t3toolbox/backend/t3_linalg/t3_plus_scalar
   /autoapi/t3toolbox/backend/t3_linalg/t3_weighted_norm
   /autoapi/t3toolbox/backend/t3_linalg/t3_weighted_inner

.. autoapisummary::

   t3toolbox.backend.t3_linalg.t3_add
   t3toolbox.backend.t3_linalg.t3_sum_stack
   t3toolbox.backend.t3_linalg.t3_scale
   t3toolbox.backend.t3_linalg.t3_inner_product
   t3toolbox.backend.t3_linalg.t3_norm
   t3toolbox.backend.t3_linalg.t3_mult
   t3toolbox.backend.t3_linalg.t3m_form_then_round
   t3toolbox.backend.t3_linalg.t3m_inplace_fused
   t3toolbox.backend.t3_linalg.t3m_swap
   t3toolbox.backend.t3_linalg.t3_plus_scalar
   t3toolbox.backend.t3_linalg.t3_weighted_norm
   t3toolbox.backend.t3_linalg.t3_weighted_inner