SUBROUTINE SGBMV (TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX,
     $   BETA, Y, INCY)
C     .. Scalar Arguments ..
      REAL               ALPHA, BETA
      INTEGER            INCX, INCY, KL, KU, LDA, M, N
      CHARACTER*1        TRANS
C     .. Array Arguments ..
      REAL               A( LDA, * ), X( * ), Y( * )
      REAL               ONE         , ZERO
      PARAMETER        ( ONE = 1.0E+0, ZERO = 0.0E+0 )
C     .. Local Scalars ..
      REAL               TEMP
      INTEGER            I, INFO, IX, IY, J, JX, JY, K, KUP1, KX, KY,
     $                   LENX, LENY
C     .. External Functions ..
      LOGICAL            LSAME
      EXTERNAL           LSAME
C     .. External Subroutines ..
      EXTERNAL           XERBLA
C     .. Intrinsic Functions ..
      INTRINSIC          MAX, MIN
C***FIRST EXECUTABLE STATEMENT  SGBMV
C
C     Test the input parameters.
C
      INFO = 0
      IF     ( .NOT.LSAME( TRANS, 'N' ).AND.
     $         .NOT.LSAME( TRANS, 'T' ).AND.
     $         .NOT.LSAME( TRANS, 'C' )      )THEN
         INFO = 1
      ELSE IF( M.LT.0 )THEN
         INFO = 2
      ELSE IF( N.LT.0 )THEN
         INFO = 3
      ELSE IF( KL.LT.0 )THEN
         INFO = 4
      ELSE IF( KU.LT.0 )THEN
         INFO = 5
      ELSE IF( LDA.LT.( KL + KU + 1 ) )THEN
         INFO = 8
      ELSE IF( INCX.EQ.0 )THEN
         INFO = 10
      ELSE IF( INCY.EQ.0 )THEN
         INFO = 13
      END IF
      IF( INFO.NE.0 )THEN
         CALL XERBLA( 'SGBMV ', INFO )
         RETURN
      END IF
C
C     Quick return if possible.
C
      IF( ( M.EQ.0 ).OR.( N.EQ.0 ).OR.
     $    ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
     $   RETURN
C
C     Set  LENX  and  LENY, the lengths of the vectors x and y, and set
C     up the start points in  X  and  Y.
C
      IF( LSAME( TRANS, 'N' ) )THEN
         LENX = N
         LENY = M
      ELSE
         LENX = M
         LENY = N
      END IF
      IF( INCX.GT.0 )THEN
         KX = 1
      ELSE
         KX = 1 - ( LENX - 1 )*INCX
      END IF
      IF( INCY.GT.0 )THEN
         KY = 1
      ELSE
         KY = 1 - ( LENY - 1 )*INCY
      END IF
C
C     Start the operations. In this version the elements of A are
C     accessed sequentially with one pass through the band part of A.
C
C     First form  y := beta*y.
C
      IF( BETA.NE.ONE )THEN
         IF( INCY.EQ.1 )THEN
            IF( BETA.EQ.ZERO )THEN
               DO 10, I = 1, LENY
                  Y( I ) = ZERO
   10          CONTINUE
            ELSE
               DO 20, I = 1, LENY
                  Y( I ) = BETA*Y( I )
   20          CONTINUE
            END IF
         ELSE
            IY = KY
            IF( BETA.EQ.ZERO )THEN
               DO 30, I = 1, LENY
                  Y( IY ) = ZERO
                  IY      = IY   + INCY
   30          CONTINUE
            ELSE
               DO 40, I = 1, LENY
                  Y( IY ) = BETA*Y( IY )
                  IY      = IY           + INCY
   40          CONTINUE
            END IF
         END IF
      END IF
      IF( ALPHA.EQ.ZERO )
     $   RETURN
      KUP1 = KU + 1
      IF( LSAME( TRANS, 'N' ) )THEN
C
C        Form  y := alpha*A*x + y.
C
         JX = KX
         IF( INCY.EQ.1 )THEN
            DO 60, J = 1, N
               IF( X( JX ).NE.ZERO )THEN
                  TEMP = ALPHA*X( JX )
                  K    = KUP1 - J
                  DO 50, I = MAX( 1, J - KU ), MIN( M, J + KL )
                     Y( I ) = Y( I ) + TEMP*A( K + I, J )
   50             CONTINUE
               END IF
               JX = JX + INCX
   60       CONTINUE
         ELSE
            DO 80, J = 1, N
               IF( X( JX ).NE.ZERO )THEN
                  TEMP = ALPHA*X( JX )
                  IY   = KY
                  K    = KUP1 - J
                  DO 70, I = MAX( 1, J - KU ), MIN( M, J + KL )
                     Y( IY ) = Y( IY ) + TEMP*A( K + I, J )
                     IY      = IY      + INCY
   70             CONTINUE
               END IF
               JX = JX + INCX
               IF( J.GT.KU )
     $            KY = KY + INCY
   80       CONTINUE
         END IF
      ELSE
C
C        Form  y := alpha*A'*x + y.
C
         JY = KY
         IF( INCX.EQ.1 )THEN
            DO 100, J = 1, N
               TEMP = ZERO
               K    = KUP1 - J
               DO 90, I = MAX( 1, J - KU ), MIN( M, J + KL )
                  TEMP = TEMP + A( K + I, J )*X( I )
   90          CONTINUE
               Y( JY ) = Y( JY ) + ALPHA*TEMP
               JY      = JY      + INCY
  100       CONTINUE
         ELSE
            DO 120, J = 1, N
               TEMP = ZERO
               IX   = KX
               K    = KUP1 - J
               DO 110, I = MAX( 1, J - KU ), MIN( M, J + KL )
                  TEMP = TEMP + A( K + I, J )*X( IX )
                  IX   = IX   + INCX
  110          CONTINUE
               Y( JY ) = Y( JY ) + ALPHA*TEMP
               JY      = JY      + INCY
               IF( J.GT.KU )
     $            KX = KX + INCX
  120       CONTINUE
         END IF
      END IF
C
      RETURN
C
C     End of SGBMV .
C
      END