diff --git a/compute/CMakeLists.txt b/compute/CMakeLists.txt
index 0aaa34a85d16cdb00a5da6643b87e8548e83a81f..8fff5fd79dd5a16ab87b6e6de68045ab6feb1a27 100644
--- a/compute/CMakeLists.txt
+++ b/compute/CMakeLists.txt
@@ -102,6 +102,7 @@ set(ZSRC
     # LAPACK
     ##################
     pzgelqf.c
+    pzgelqf_param.c
     pzgelqfrh.c
     pzgeqrf.c
     pzgeqrfrh.c
diff --git a/compute/pzgelqf_param.c b/compute/pzgelqf_param.c
new file mode 100644
index 0000000000000000000000000000000000000000..a3d5d52f1669a0496f3695706565d5d7e6ac6d91
--- /dev/null
+++ b/compute/pzgelqf_param.c
@@ -0,0 +1,222 @@
+/**
+ *
+ * @copyright (c) 2009-2014 The University of Tennessee and The University of
+ *                          Tennessee Research Foundation.  All rights reserved.
+ * @copyright (c) 2012-2017 Bordeaux INP, CNRS (LaBRI UMR 5800), Inria,
+ *                          Univ. Bordeaux. All rights reserved.
+ *
+ **/
+
+/**
+ *
+ * @file pzgelqf_param.c
+ *
+ *  MORSE auxiliary routines
+ *  MORSE is a software package provided by Univ. of Tennessee,
+ *  Univ. of California Berkeley and Univ. of Colorado Denver
+ *
+ * @version 2.5.0
+ * @author Jakub Kurzak
+ * @author Hatem Ltaief
+ * @author Dulceneia Becker
+ * @author Mathieu Faverge
+ * @author Emmanuel Agullo
+ * @author Cedric Castagnede
+ * @author Raphael Boucherie
+ * @date 2010-11-15
+ * @precisions normal z -> s d c
+ *
+ **/
+#include "control/common.h"
+#include "libhqr.h"
+
+#define A(m,n)  A,  (m), (n)
+#define TS(m,n) TS, (m), (n)
+#define TT(m,n) TT, (m), (n)
+#if defined(CHAMELEON_COPY_DIAG)
+#define D(m,n)  D,  (m), (n)
+#else
+#define D(m,n)  A,  (m), (n)
+#endif
+
+/**
+ *  Parallel tile QR factorization (reduction Householder) - dynamic scheduling
+ */
+void morse_pzgelqf_param( const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_desc_t *TS, MORSE_desc_t *TT,
+                          MORSE_sequence_t *sequence, MORSE_request_t *request)
+{
+    MORSE_context_t *morse;
+    MORSE_option_t options;
+    size_t ws_worker = 0;
+    size_t ws_host = 0;
+    MORSE_desc_t *D = NULL;
+
+    int k, m, n, i, p;
+    int K;
+    int ldak, ldam;
+    int tempkmin, tempkm, tempnn, tempmm;
+    int ib;
+    int *tiles;
+
+    morse = morse_context_self();
+    if (sequence->status != MORSE_SUCCESS)
+        return;
+    RUNTIME_options_init(&options, morse, sequence, request);
+
+    ib = MORSE_IB;
+
+    /*
+     * zgeqrt = A->nb * (ib+1)
+     * zunmqr = A->nb * ib
+     * ztsqrt = A->nb * (ib+1)
+     * zttqrt = A->nb * (ib+1)
+     * ztsmqr = A->nb * ib
+     * zttmqr = A->nb * ib
+     */
+    ws_worker = A->nb * (ib+1);
+
+    /* Allocation of temporary (scratch) working space */
+#if defined(CHAMELEON_USE_CUDA)
+    /* Worker space
+     *
+     * zunmqr = A->nb * ib
+     * ztsmqr = 2 * A->nb * ib
+     */
+    ws_worker = chameleon_max( ws_worker, ib * A->nb * 2 );
+#endif
+
+    /* Initialisation of tiles */
+
+    tiles = (int*)malloc((qrtree->mt)*sizeof(int));
+    memset( tiles, 0, (qrtree->mt)*sizeof(int) );
+
+    ws_worker *= sizeof(MORSE_Complex64_t);
+    ws_host   *= sizeof(MORSE_Complex64_t);
+
+    RUNTIME_options_ws_alloc( &options, ws_worker, ws_host );
+
+#if defined(CHAMELEON_COPY_DIAG)
+    {
+        /* necessary to avoid dependencies between tasks regarding the diag tile */
+        D = (MORSE_desc_t*)malloc(sizeof(MORSE_desc_t));
+        morse_zdesc_alloc(*D, A->mb, A->nb, A->m, A->n, 0, 0, A->m, A->n, );
+    }
+#endif
+
+    K = chameleon_min(A->mt, A->nt);
+
+    /* The number of the factorization */
+    for (k = 0; k < K; k++) {
+        RUNTIME_iteration_push(morse, k);
+        tempkm = k == A->mt-1 ? A->m-k*A->mb : A->mb;
+
+        /* The number of geqrt to apply */
+        for (i = 0; i < qrtree->getnbgeqrf(qrtree, k); i++) {
+            n = qrtree->getm(qrtree, k, i);
+            tempnn = n == A->nt-1 ? A->n-n*A->nb : A->nb;
+            tempkmin = chameleon_min(tempnn, tempkm);
+            ldak = BLKLDD(A, k);
+
+            MORSE_TASK_zgelqt(
+                &options,
+                tempkm, tempnn, ib, TS->nb,
+                A( k, n), ldak,
+                TS(k, n), TS->mb);
+            if ( k < (A->nt-1) ) {
+#if defined(CHAMELEON_COPY_DIAG)
+                MORSE_TASK_zlacpy(
+                    &options,
+                    MorseUpper, tempkm, tempnn, A->nb,
+                    A(k, n), ldak,
+                    D(k, n), ldak );
+#if defined(CHAMELEON_USE_CUDA)
+                MORSE_TASK_zlaset(
+                    &options,
+                    MorseLower, tempkm, tempnn,
+                    0., 1.,
+                    D(k, n), ldak );
+#endif
+#endif
+            }
+            for (m = k+1; n < A->mt; m++) {
+                tempmm = m == A->mt-1 ? A->m-m*A->mb : A->mb;
+                MORSE_TASK_zunmlq(
+                    &options,
+                    MorseRight, MorseConjTrans,
+                    tempmm, tempnn, tempkmin, ib, TS->nb,
+                    D( k, n), ldak,
+                    TS(k, n), TS->mb,
+                    A( m, n), ldam);
+            }
+        }
+
+        /* Setting the order of the tiles */
+        libhqr_treewalk(qrtree, k, tiles);
+
+        for (i = k; i < A->nt-1; i++) {
+            n = tiles[i];
+            p = qrtree->currpiv(qrtree, k, n);
+
+            tempnn = m == A->nt-1 ? A->n-n*A->nb : A->nb;
+
+            /* Tiles killed is a TS */
+            if(qrtree->gettype(qrtree, k, n) == 0){
+                MORSE_TASK_ztslqt(
+                    &options,
+                    tempkm, tempnn, ib, TS->nb,
+                    A( k, p), ldak,
+                    A( k, n), ldak,
+                    TS(k, n), TS->mb);
+
+                for (m = k+1; m < A->mt; m++) {
+                    tempmm = m == A->mt-1 ? A->m-m*A->mb : A->mb;
+                    ldam = BLKLDD(A, m);
+                    MORSE_TASK_ztsmlq(
+                        &options,
+                        MorseRight, MorseConjTrans,
+                        tempmm, A->nb, tempmm, tempnn, tempkm, ib, TS->nb,
+                        A( m, p), ldam,
+                        A( m, n), ldam,
+                        A( k, n), ldak,
+                        TS(k, n), TS->mb);
+                }
+            }
+
+            /* Tiles killed is a TT */
+            else {
+                MORSE_TASK_zttlqt(
+                    &options,
+                    tempkm, tempnn, ib, TT->nb,
+                    A( k, p), ldak,
+                    A( k, n), ldak,
+                    TT(k, n), TT->mb);
+
+                for (m = k+1; m < A->mt; m++) {
+                    tempmm = m == A->mt-1 ? A->m-m*A->mb : A->mb;
+                    ldam = BLKLDD(A, m);
+                    MORSE_TASK_zttmlq(
+                        &options,
+                        MorseRight, MorseConjTrans,
+                        tempmm, A->nb, tempmm, tempnn, tempkm, ib, TT->nb,
+                        A( m, p), ldam,
+                        A( m, n), ldam,
+                        A( k, n), ldak,
+                        TT(k, n), TT->mb);
+                }
+            }
+        }
+        RUNTIME_iteration_pop(morse);
+    }
+
+    free(tiles);
+    RUNTIME_options_ws_free(&options);
+    RUNTIME_options_finalize(&options, morse);
+    MORSE_TASK_dataflush_all();
+
+#if defined(CHAMELEON_COPY_DIAG)
+    MORSE_Sequence_Wait(sequence);
+    morse_desc_mat_free(D);
+    free(D);
+#endif
+    (void)D;
+}
diff --git a/control/compute_z.h b/control/compute_z.h
index 6decc053193b2dd1f77c020bd418ed25ca25d14c..a6b77619a63db2fe5118328f1344e7d6157530da 100644
--- a/control/compute_z.h
+++ b/control/compute_z.h
@@ -161,12 +161,12 @@ void morse_pzgelqf_param(const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_des
 void morse_pzgeqrf_param(const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_desc_t *TS, MORSE_desc_t *TT,
                          MORSE_sequence_t *sequence, MORSE_request_t *request);
 void morse_pzunmlq_param(const libhqr_tree_t *qrtree, MORSE_enum side, MORSE_enum trans,
-                         MORSE_desc_t *A, MORSE_desc_t *B, MORSE_desc_t *T,
+                         MORSE_desc_t *A, MORSE_desc_t *B, MORSE_desc_t *TS, MORSE_desc_t *TT,
                          MORSE_sequence_t *sequence, MORSE_request_t *request);
 void morse_pzunmqr_param(const libhqr_tree_t *qrtree, MORSE_enum side, MORSE_enum trans,
                          MORSE_desc_t *A, MORSE_desc_t *B, MORSE_desc_t *TS, MORSE_desc_t *TT,
                          MORSE_sequence_t *sequence, MORSE_request_t *request);
-void morse_pzunglq_param(const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_desc_t *Q, MORSE_desc_t *T,
+void morse_pzunglq_param(const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_desc_t *Q, MORSE_desc_t *TS, MORSE_desc_t *TT,
                          MORSE_sequence_t *sequence, MORSE_request_t *request);
 void morse_pzungqr_param(const libhqr_tree_t *qrtree, MORSE_desc_t *A, MORSE_desc_t *Q, MORSE_desc_t *TS, MORSE_desc_t *TT,
                          MORSE_sequence_t *sequence, MORSE_request_t *request);