! Replaces DTBMV  24 procedures


    ! Level 2 REAL  (DTBMV)

    ! .                         unit
    ! .     alpha  op_a  lower  diag  b

    ! 201*   any    H      L     U    b < alpha a(H) b
    ! 202*   any    H      L          b < alpha a(H) b
    ! 203*   any    H            U    b < alpha a(H) b
    ! 204*   any    H                 b < alpha a(H) b
    ! 205    any    T      L     U    b < alpha a(T) b
    ! 206    any    T      L          b < alpha a(T) b
    ! 207    any    T            U    b < alpha a(T) b
    ! 208    any    T                 b < alpha a(T) b
    ! 209    any           L     U    b < alpha a b
    ! 210    any           L          b < alpha a b
    ! 211    any                 U    b < alpha a b
    ! 212    any                      b < alpha a b
    ! 213*   1.0    H      L     U    b < a(H) b
    ! 214*   1.0    H      L          b < a(H) b
    ! 215*   1.0    H            U    b < a(H) b
    ! 216*   1.0    H                 b < a(H) b
    ! 217    1.0    T      L     U    b < a(T) b
    ! 218    1.0    T      L          b < a(T) b
    ! 219    1.0    T            U    b < a(T) b
    ! 220    1.0    T                 b < a(T) b
    ! 221    1.0           L     U    b < a b
    ! 222    1.0           L          b < a b
    ! 223    1.0                 U    b < a b
    ! 224    1.0                      b < a b


    ! * means not needed for the REAL case
    ! .  all procedures with op_a of type "blas_conj_trans"
    ! .  are not needed but have been added for consistency
    ! .  with the complex case
    ! .  (201, 202, 203, 204, 213, 214, 215, 216)

    MODULE dtbmv_01

    CONTAINS
      SUBROUTINE dtbmv_201(alpha,a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','C','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_201
    END MODULE dtbmv_01

    MODULE dtbmv_02

    CONTAINS
      SUBROUTINE dtbmv_202(alpha,a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','C','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_202
    END MODULE dtbmv_02

    MODULE dtbmv_03

    CONTAINS
      SUBROUTINE dtbmv_203(alpha,a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','C','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_203
    END MODULE dtbmv_03

    MODULE dtbmv_04

    CONTAINS
      SUBROUTINE dtbmv_204(alpha,a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_conj_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','C','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_204
    END MODULE dtbmv_04

    MODULE dtbmv_05

    CONTAINS
      SUBROUTINE dtbmv_205(alpha,a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','T','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_205
    END MODULE dtbmv_05

    MODULE dtbmv_06

    CONTAINS
      SUBROUTINE dtbmv_206(alpha,a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','T','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_206
    END MODULE dtbmv_06

    MODULE dtbmv_07

    CONTAINS
      SUBROUTINE dtbmv_207(alpha,a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','T','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_207
    END MODULE dtbmv_07

    MODULE dtbmv_08

    CONTAINS
      SUBROUTINE dtbmv_208(alpha,a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_trans_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','T','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_208
    END MODULE dtbmv_08

    MODULE dtbmv_09

    CONTAINS
      SUBROUTINE dtbmv_209(alpha,a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','N','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_209
    END MODULE dtbmv_09

    MODULE dtbmv_10

    CONTAINS
      SUBROUTINE dtbmv_210(alpha,a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('L','N','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_210
    END MODULE dtbmv_10

    MODULE dtbmv_11

    CONTAINS
      SUBROUTINE dtbmv_211(alpha,a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','N','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_211
    END MODULE dtbmv_11

    MODULE dtbmv_12

    CONTAINS
      SUBROUTINE dtbmv_212(alpha,a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        ! .. Scalar Arguments ..
        REAL (wp), INTENT (IN) :: alpha
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        b = alpha*b
        CALL dtbmv('U','N','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_212
    END MODULE dtbmv_12

    MODULE dtbmv_13

    CONTAINS
      SUBROUTINE dtbmv_213(a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','C','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_213
    END MODULE dtbmv_13

    MODULE dtbmv_14

    CONTAINS
      SUBROUTINE dtbmv_214(a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','C','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_214
    END MODULE dtbmv_14

    MODULE dtbmv_15

    CONTAINS
      SUBROUTINE dtbmv_215(a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','C','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_215
    END MODULE dtbmv_15

    MODULE dtbmv_16

    CONTAINS
      SUBROUTINE dtbmv_216(a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_conj_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_conj_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','C','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_216
    END MODULE dtbmv_16

    MODULE dtbmv_17

    CONTAINS
      SUBROUTINE dtbmv_217(a,op_a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type, &
         blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','T','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_217
    END MODULE dtbmv_17

    MODULE dtbmv_18

    CONTAINS
      SUBROUTINE dtbmv_218(a,op_a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','T','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_218
    END MODULE dtbmv_18

    MODULE dtbmv_19

    CONTAINS
      SUBROUTINE dtbmv_219(a,op_a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type, blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','T','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_219
    END MODULE dtbmv_19

    MODULE dtbmv_20

    CONTAINS
      SUBROUTINE dtbmv_220(a,op_a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_trans_type
        ! .. Scalar Arguments ..
        TYPE (blas_trans_type), INTENT (IN) :: op_a
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','T','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_220
    END MODULE dtbmv_20

    MODULE dtbmv_21

    CONTAINS
      SUBROUTINE dtbmv_221(a,b,lower,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type, blas_unit_diag_type
        ! .. Scalar Arguments ..
        TYPE (blas_lower_type), INTENT (IN) :: lower
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','N','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_221
    END MODULE dtbmv_21

    MODULE dtbmv_22

    CONTAINS
      SUBROUTINE dtbmv_222(a,b,lower)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_lower_type
        ! .. Scalar Arguments ..
        TYPE (blas_lower_type), INTENT (IN) :: lower
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('L','N','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_222
    END MODULE dtbmv_22

    MODULE dtbmv_23

    CONTAINS
      SUBROUTINE dtbmv_223(a,b,unit_diag)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        USE blas_keywords, ONLY : blas_unit_diag_type
        ! .. Scalar Arguments ..
        TYPE (blas_unit_diag_type), INTENT (IN) :: unit_diag
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','N','U',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_223
    END MODULE dtbmv_23

    MODULE dtbmv_24

    CONTAINS
      SUBROUTINE dtbmv_224(a,b)
        ! .. Use Statements ..
        USE blas_kinds, ONLY : wp => dp
        ! .. Array Arguments ..
        REAL (wp), INTENT (IN) :: a(:,:)
        REAL (wp), INTENT (INOUT) :: b(:)
        ! .. Local Scalar ..
        INTEGER :: k, n
        ! .. External Procedures ..
        EXTERNAL dtbmv

        n = SIZE(b)
        k = SIZE(a,1) - 1
        CALL dtbmv('U','N','N',n,k,a,k+1,b,1)
      END SUBROUTINE dtbmv_224
    END MODULE dtbmv_24