diff --git a/include/morse_z.h b/include/morse_z.h
index f01b0c778aa1a487999f528e71573589af2c9a57..07c81112acc974d522bc571d876e28152957aafc 100644
--- a/include/morse_z.h
+++ b/include/morse_z.h
@@ -102,6 +102,7 @@ int MORSE_zsyrk(MORSE_enum uplo, MORSE_enum trans, int N, int K, MORSE_Complex64
 int MORSE_zsyr2k(MORSE_enum uplo, MORSE_enum trans, int N, int K, MORSE_Complex64_t alpha, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB, MORSE_Complex64_t beta, MORSE_Complex64_t *C, int LDC);
 int MORSE_zsysv(MORSE_enum uplo, int N, int NRHS, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB);
 int MORSE_zsytrs(MORSE_enum uplo, int N, int NRHS, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB);
+int MORSE_ztpqrt( int M, int N, int L, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB, MORSE_desc_t *descT );
 int MORSE_ztradd(MORSE_enum uplo, MORSE_enum trans, int M, int N, MORSE_Complex64_t alpha, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t beta, MORSE_Complex64_t *B, int LDB);
 int MORSE_ztrmm(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, int N, int NRHS, MORSE_Complex64_t alpha, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB);
 int MORSE_ztrsm(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, int N, int NRHS, MORSE_Complex64_t alpha, MORSE_Complex64_t *A, int LDA, MORSE_Complex64_t *B, int LDB);
@@ -179,6 +180,7 @@ int MORSE_zsyrk_Tile(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha,
 int MORSE_zsyr2k_Tile(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_Complex64_t beta, MORSE_desc_t *C);
 int MORSE_zsysv_Tile(MORSE_enum uplo, MORSE_desc_t *A, MORSE_desc_t *B);
 int MORSE_zsytrs_Tile(MORSE_enum uplo, MORSE_desc_t *A, MORSE_desc_t *B);
+int MORSE_ztpqrt_Tile( int L, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_desc_t *T );
 int MORSE_ztradd_Tile(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_Complex64_t beta, MORSE_desc_t *B);
 int MORSE_ztrmm_Tile(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B);
 int MORSE_ztrsm_Tile(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B);
@@ -253,6 +255,7 @@ int MORSE_zsytrs_Tile_Async(MORSE_enum uplo, MORSE_desc_t *A, MORSE_desc_t *B, M
 int MORSE_zsymm_Tile_Async(MORSE_enum side, MORSE_enum uplo, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_Complex64_t beta, MORSE_desc_t *C, MORSE_sequence_t *sequence, MORSE_request_t *request);
 int MORSE_zsyrk_Tile_Async(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_Complex64_t beta, MORSE_desc_t *C, MORSE_sequence_t *sequence, MORSE_request_t *request);
 int MORSE_zsyr2k_Tile_Async(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_Complex64_t beta, MORSE_desc_t *C, MORSE_sequence_t *sequence, MORSE_request_t *request);
+int MORSE_ztpqrt_Tile_Async( int L, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_desc_t *T, MORSE_sequence_t *sequence, MORSE_request_t *request );
 int MORSE_ztradd_Tile_Async(MORSE_enum uplo, MORSE_enum trans, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_Complex64_t beta, MORSE_desc_t *B, MORSE_sequence_t *sequence, MORSE_request_t *request);
 int MORSE_ztrmm_Tile_Async(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_sequence_t *sequence, MORSE_request_t *request);
 int MORSE_ztrsm_Tile_Async(MORSE_enum side, MORSE_enum uplo, MORSE_enum transA, MORSE_enum diag, MORSE_Complex64_t alpha, MORSE_desc_t *A, MORSE_desc_t *B, MORSE_sequence_t *sequence, MORSE_request_t *request);
diff --git a/include/runtime_z.h b/include/runtime_z.h
index df6b2f553e17bcd16c872e24b360cafcb0b4f74c..d4e434a8cd170151cd46e9a8941f3b5dda026cd1 100644
--- a/include/runtime_z.h
+++ b/include/runtime_z.h
@@ -315,6 +315,18 @@ void MORSE_TASK_zswptr_ontile(const MORSE_option_t *options,
                               const MORSE_desc_t descA, const MORSE_desc_t *Aij, int Aijm, int Aijn,
                               int i1,  int i2, int *ipiv, int inc,
                               const MORSE_desc_t *Akk, int Akkm, int Akkn, int ldak);
+void MORSE_TASK_ztpmqrt(const MORSE_option_t *options,
+                        MORSE_enum side, MORSE_enum trans,
+                        int m, int n, int k, int l, int ib, int nb,
+                        const MORSE_desc_t *V, int Vm, int Vn, int ldv,
+                        const MORSE_desc_t *T, int Tm, int Tn, int ldt,
+                        const MORSE_desc_t *A, int Am, int An, int lda,
+                        const MORSE_desc_t *B, int Bm, int Bn, int ldb );
+void MORSE_TASK_ztpqrt(const MORSE_option_t *options,
+                       int m, int n, int l, int ib, int nb,
+                       const MORSE_desc_t *A, int Am, int An, int lda,
+                       const MORSE_desc_t *B, int Bm, int Bn, int ldb,
+                       const MORSE_desc_t *T, int Tm, int Tn, int ldt );
 void MORSE_TASK_ztrdalg(const MORSE_option_t *options,
                         MORSE_enum uplo,
                         int N, int NB,