Fix incorrect dtypes in LUFactor and PivotToPremutations

Author: ricardoV94

pytensor/link/numba/dispatch/slinalg.py

@@ -83,7 +83,7 @@ def cholesky(a):
 @numba_funcify.register(PivotToPermutations)
 def pivot_to_permutation(op, node, **kwargs):
     inverse = op.inverse
-    dtype = node.inputs[0].dtype
+    dtype = node.outputs[0].dtype
 
     @numba_njit
     def numba_pivot_to_permutation(piv):

pytensor/tensor/slinalg.py

@@ -604,7 +604,7 @@ def make_node(self, pivots):
 
     def perform(self, node, inputs, outputs):
         [pivots] = inputs
-        p_inv = np.arange(len(pivots), dtype=pivots.dtype)
+        p_inv = np.arange(len(pivots), dtype="int64")
 
         for i in range(len(pivots)):
             p_inv[i], p_inv[pivots[i]] = p_inv[pivots[i]], p_inv[i]
@@ -639,7 +639,7 @@ def make_node(self, A):
             )
 
         LU = matrix(shape=A.type.shape, dtype=A.type.dtype)
-        pivots = vector(shape=(A.type.shape[0],), dtype="int64")
+        pivots = vector(shape=(A.type.shape[0],), dtype="int32")
 
         return Apply(self, [A], [LU, pivots])