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zhbmv.f(3)				      LAPACK				       zhbmv.f(3)

NAME
       zhbmv.f -

SYNOPSIS
   Functions/Subroutines
       subroutine zhbmv (UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
	   ZHBMV

Function/Subroutine Documentation
   subroutine zhbmv (characterUPLO, integerN, integerK, complex*16ALPHA, complex*16,
       dimension(lda,*)A, integerLDA, complex*16, dimension(*)X, integerINCX, complex*16BETA,
       complex*16, dimension(*)Y, integerINCY)
       ZHBMV Purpose:

	    ZHBMV  performs the matrix-vector  operation

	       y := alpha*A*x + beta*y,

	    where alpha and beta are scalars, x and y are n element vectors and
	    A is an n by n hermitian band matrix, with k super-diagonals.

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		      On entry, UPLO specifies whether the upper or lower
		      triangular part of the band matrix A is being supplied as
		      follows:

			 UPLO = 'U' or 'u'   The upper triangular part of A is
					     being supplied.

			 UPLO = 'L' or 'l'   The lower triangular part of A is
					     being supplied.

	   N

		     N is INTEGER
		      On entry, N specifies the order of the matrix A.
		      N must be at least zero.

	   K

		     K is INTEGER
		      On entry, K specifies the number of super-diagonals of the
		      matrix A. K must satisfy	0 .le. K.

	   ALPHA

		     ALPHA is COMPLEX*16
		      On entry, ALPHA specifies the scalar alpha.

	   A

		     A is COMPLEX*16 array of DIMENSION ( LDA, n ).
		      Before entry with UPLO = 'U' or 'u', the leading ( k + 1 )
		      by n part of the array A must contain the upper triangular
		      band part of the hermitian matrix, supplied column by
		      column, with the leading diagonal of the matrix in row
		      ( k + 1 ) of the array, the first super-diagonal starting at
		      position 2 in row k, and so on. The top left k by k triangle
		      of the array A is not referenced.
		      The following program segment will transfer the upper
		      triangular part of a hermitian band matrix from conventional
		      full matrix storage to band storage:

			    DO 20, J = 1, N
			       M = K + 1 - J
			       DO 10, I = MAX( 1, J - K ), J
				  A( M + I, J ) = matrix( I, J )
			 10    CONTINUE
			 20 CONTINUE

		      Before entry with UPLO = 'L' or 'l', the leading ( k + 1 )
		      by n part of the array A must contain the lower triangular
		      band part of the hermitian matrix, supplied column by
		      column, with the leading diagonal of the matrix in row 1 of
		      the array, the first sub-diagonal starting at position 1 in
		      row 2, and so on. The bottom right k by k triangle of the
		      array A is not referenced.
		      The following program segment will transfer the lower
		      triangular part of a hermitian band matrix from conventional
		      full matrix storage to band storage:

			    DO 20, J = 1, N
			       M = 1 - J
			       DO 10, I = J, MIN( N, J + K )
				  A( M + I, J ) = matrix( I, J )
			 10    CONTINUE
			 20 CONTINUE

		      Note that the imaginary parts of the diagonal elements need
		      not be set and are assumed to be zero.

	   LDA

		     LDA is INTEGER
		      On entry, LDA specifies the first dimension of A as declared
		      in the calling (sub) program. LDA must be at least
		      ( k + 1 ).

	   X

		     X is COMPLEX*16 array of DIMENSION at least
		      ( 1 + ( n - 1 )*abs( INCX ) ).
		      Before entry, the incremented array X must contain the
		      vector x.

	   INCX

		     INCX is INTEGER
		      On entry, INCX specifies the increment for the elements of
		      X. INCX must not be zero.

	   BETA

		     BETA is COMPLEX*16
		      On entry, BETA specifies the scalar beta.

	   Y

		     Y is COMPLEX*16 array of DIMENSION at least
		      ( 1 + ( n - 1 )*abs( INCY ) ).
		      Before entry, the incremented array Y must contain the
		      vector y. On exit, Y is overwritten by the updated vector y.

	   INCY

		     INCY is INTEGER
		      On entry, INCY specifies the increment for the elements of
		      Y. INCY must not be zero.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Further Details:

	     Level 2 Blas routine.
	     The vector and matrix arguments are not referenced when N = 0, or M = 0

	     -- Written on 22-October-1986.
		Jack Dongarra, Argonne National Lab.
		Jeremy Du Croz, Nag Central Office.
		Sven Hammarling, Nag Central Office.
		Richard Hanson, Sandia National Labs.

       Definition at line 188 of file zhbmv.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			       zhbmv.f(3)
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