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cgbmv.f(3)				      LAPACK				       cgbmv.f(3)

       cgbmv.f -

       subroutine cgbmv (TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)

Function/Subroutine Documentation
   subroutine cgbmv (characterTRANS, integerM, integerN, integerKL, integerKU, complexALPHA,
       complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA,
       complex, dimension(*)Y, integerINCY)
       CGBMV Purpose:

	    CGBMV  performs one of the matrix-vector operations

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

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

	    where alpha and beta are scalars, x and y are vectors and A is an
	    m by n band matrix, with kl sub-diagonals and ku super-diagonals.


		      On entry, TRANS specifies the operation to be performed as

			 TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.

			 TRANS = 'T' or 't'   y := alpha*A**T*x + beta*y.

			 TRANS = 'C' or 'c'   y := alpha*A**H*x + beta*y.


		     M is INTEGER
		      On entry, M specifies the number of rows of the matrix A.
		      M must be at least zero.


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


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


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


		      On entry, ALPHA specifies the scalar alpha.


		     A is COMPLEX array of DIMENSION ( LDA, n ).
		      Before entry, the leading ( kl + ku + 1 ) by n part of the
		      array A must contain the matrix of coefficients, supplied
		      column by column, with the leading diagonal of the matrix in
		      row ( ku + 1 ) of the array, the first super-diagonal
		      starting at position 2 in row ku, the first sub-diagonal
		      starting at position 1 in row ( ku + 2 ), and so on.
		      Elements in the array A that do not correspond to elements
		      in the band matrix (such as the top left ku by ku triangle)
		      are not referenced.
		      The following program segment will transfer a band matrix
		      from conventional full matrix storage to band storage:

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


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


		     X is COMPLEX array of DIMENSION at least
		      ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
		      and at least
		      ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
		      Before entry, the incremented array X must contain the
		      vector x.


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


		     BETA is COMPLEX
		      On entry, BETA specifies the scalar beta. When BETA is
		      supplied as zero then Y need not be set on input.


		     Y is COMPLEX array of DIMENSION at least
		      ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
		      and at least
		      ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
		      Before entry, the incremented array Y must contain the
		      vector y. On exit, Y is overwritten by the updated vector y.


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

	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

	   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 cgbmv.f.

       Generated automatically by Doxygen for LAPACK from the source code.

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