Apply remarks

Author: vlad-perevezentsev

dpnp/linalg/dpnp_iface_linalg.py

@@ -914,9 +914,11 @@ def lu_factor(a, overwrite_a=False, check_finite=True):
     where `P` is a permutation matrix, `L` is lower triangular with unit
     diagonal elements, and `U` is upper triangular.
 
+    For full documentation refer to :obj:`scipy.linalg.lu_factor`.
+
     Parameters
     ----------
-    a : (M, N) {dpnp.ndarray, usm_ndarray}
+    a : (..., M, N) {dpnp.ndarray, usm_ndarray}
         Input array to decompose.
     overwrite_a : {None, bool}, optional
         Whether to overwrite data in `a` (may increase performance).
@@ -931,13 +933,14 @@ def lu_factor(a, overwrite_a=False, check_finite=True):
 
     Returns
     -------
-    lu : (M, N) dpnp.ndarray
-        Matrix containing U in its upper triangle, and L in its lower triangle.
-        The unit diagonal elements of L are not stored.
-    piv : (K, ) dpnp.ndarray
-        Pivot indices representing the permutation matrix P:
+    lu : (..., M, N) dpnp.ndarray
+        Matrix containing `U` in its upper triangle,
+        and `L` in its lower triangle.
+        The unit diagonal elements of `L` are not stored.
+    piv : (..., K) dpnp.ndarray
+        Pivot indices representing the permutation matrix `P`:
         row i of matrix was interchanged with row piv[i].
-        ``K = min(M, N)``.
+        Where ``K = min(M, N)``.
 
     Warning
     -------

dpnp/linalg/dpnp_utils_linalg.py

@@ -2463,17 +2463,17 @@ def dpnp_lu_factor(a, overwrite_a=False, check_finite=True):
     # - not writeable
     if not overwrite_a or _is_copy_required(a, res_type):
         a_h = dpnp.empty_like(a, order="F", dtype=res_type)
-        ht_ev, copy_ev = ti._copy_usm_ndarray_into_usm_ndarray(
+        ht_ev, dep_ev = ti._copy_usm_ndarray_into_usm_ndarray(
             src=a_usm_arr,
             dst=a_h.get_array(),
             sycl_queue=a_sycl_queue,
             depends=_manager.submitted_events,
         )
-        _manager.add_event_pair(ht_ev, copy_ev)
+        _manager.add_event_pair(ht_ev, dep_ev)
     else:
         # input is suitable for in-place modification
         a_h = a
-        copy_ev = None
+        dep_ev = _manager.submitted_events
 
     m, n = a.shape
 
@@ -2493,7 +2493,7 @@ def dpnp_lu_factor(a, overwrite_a=False, check_finite=True):
         a_h.get_array(),
         ipiv_h.get_array(),
         dev_info_h,
-        depends=[copy_ev] if copy_ev is not None else _manager.submitted_events,
+        depends=dep_ev,
     )
     _manager.add_event_pair(ht_ev, getrf_ev)