t3_orthogonalization
====================


.. py:module:: t3toolbox.backend.t3_orthogonalization

.. autoapi-nested-parse::

   Directional orthogonalization sweeps for ragged t3 data.

   ``t3_left/right_orthogonalize``, the up/down core sweeps, the single-core SVD steps they are
   built from, the relative-orthogonalization helpers, and ``t3_orthogonality_residual`` (the
   non-enforcing checker behind the safe-mode orthogonal-frame precondition).



Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_orthogonality_residual
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_left_orthogonalize
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_right_orthogonalize
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_up_orthogonalize_tt_cores
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_down_orthogonalize_tucker_cores
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_down_svd_tucker_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_left_svd_tt_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_right_svd_tt_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_down_svd_tt_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_up_svd_tt_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_orthogonalize_relative_to_tucker_core
   /autoapi/t3toolbox/backend/t3_orthogonalization/t3_orthogonalize_relative_to_tt_core

.. autoapisummary::

   t3toolbox.backend.t3_orthogonalization.t3_orthogonality_residual
   t3toolbox.backend.t3_orthogonalization.t3_left_orthogonalize
   t3toolbox.backend.t3_orthogonalization.t3_right_orthogonalize
   t3toolbox.backend.t3_orthogonalization.t3_up_orthogonalize_tt_cores
   t3toolbox.backend.t3_orthogonalization.t3_down_orthogonalize_tucker_cores
   t3toolbox.backend.t3_orthogonalization.t3_down_svd_tucker_core
   t3toolbox.backend.t3_orthogonalization.t3_left_svd_tt_core
   t3toolbox.backend.t3_orthogonalization.t3_right_svd_tt_core
   t3toolbox.backend.t3_orthogonalization.t3_down_svd_tt_core
   t3toolbox.backend.t3_orthogonalization.t3_up_svd_tt_core
   t3toolbox.backend.t3_orthogonalization.t3_orthogonalize_relative_to_tucker_core
   t3toolbox.backend.t3_orthogonalization.t3_orthogonalize_relative_to_tt_core