warp.tile\_cholesky
===================

.. function:: warp._src.lang.tile_cholesky(A: Tile[Float,tuple[int, int]]) -> Tile[Float,tuple[int, int]]

   .. hlist::
      :columns: 8

      * Kernel

   Compute the Cholesky factorization ``L`` of a matrix ``A``.
   
   ``L`` is lower triangular and satisfies ``LL^T = A``.
   
   Only the lower triangular portion of ``A`` is used for the decomposition;
   the upper triangular part may be left unspecified.
   
   Note that computing the adjoint is not yet supported.
   
   Supported datatypes are:
       * float32
       * float64
   
   :param A: A square, symmetric positive-definite, matrix. Only the lower triangular part of ``A`` is needed; the upper part is ignored.
   
   :returns: A square, lower triangular matrix, such that ``LL^T = A``.