[Docs] batched serial lacgv

docs/source/API/batched/dense-index.rst

@@ -17,6 +17,7 @@ API: Batched Dense (DLA)
    dense/batched_pbtrs
    dense/batched_pttrf
    dense/batched_pttrs
+   dense/batched_lacgv
 
 Our implementation of batched dense linear algebra (DLA) allows user to compose various batched DLA operations.
 For example, consider a case where small element matrices are created via `gemm` and those matrices are triangular solved by `lu` and `trsv`.
@@ -364,7 +365,7 @@ Below are tables summarizing the currently supported function calls in Kokkos Ke
      - --
      - --
    * - lacgv
-     - `SerialLacgv`
+     - :doc:`SerialLacgv <dense/batched_lacgv>`
      - --
      - --
    * - laswp

docs/source/API/batched/dense/batched_lacgv.rst

@@ -0,0 +1,35 @@
+KokkosBatched::Lacgv
+####################
+
+Defined in header: :code:`KokkosBatched_Lacgv.hpp`
+
+.. code:: c++
+
+    struct SerialLacgv {
+      template <typename XViewType>
+      KOKKOS_INLINE_FUNCTION static int invoke(const XViewType &x);
+    };
+
+Conjugates the elements of a complex vector :math:`x`. No operation is performed if :math:`x` is real.
+
+Parameters
+==========
+
+:x: :math:`x` is a length n vector.
+
+Type Requirements
+-----------------
+
+- ``XViewType`` must be a Kokkos `View <https://kokkos.org/kokkos-core-wiki/API/core/view/view.html>`_ of rank 1 representing the vector :math:`x`
+
+Example
+=======
+
+.. literalinclude:: ../../../../../example/batched_solve/serial_lacgv.cpp
+  :language: c++
+
+output:
+
+.. code::
+
+   lacgv works correctly!