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SUBROUTINE ZGBMV( TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX,
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* -- Automatically Tuned Linear Algebra Software (ATLAS)
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* (C) Copyright 2000 All Rights Reserved
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* -- ATLAS routine -- F77 Interface -- Version 3.2 -- December 15, 2000
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* -- Suggestions, comments, bugs reports should be sent to the follo-
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* wing e-mail address: atlas@cs.utk.edu
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* Author : Antoine P. Petitet
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* University of Tennessee - Innovative Computing Laboratory
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* Knoxville TN, 37996-1301, USA.
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* ---------------------------------------------------------------------
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* -- Copyright notice and Licensing terms:
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions, and the following disclaimer in
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* the documentation and/or other materials provided with the distri-
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* 3. The name of the University, the ATLAS group, or the names of its
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* contributors may not be used to endorse or promote products deri-
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* ved from this software without specific written permission.
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY
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* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPE-
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* CIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
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* TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
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* OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEO-
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* RY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (IN-
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* CLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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* ---------------------------------------------------------------------
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* .. Scalar Arguments ..
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INTEGER INCX, INCY, KL, KU, LDA, M, N
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COMPLEX*16 ALPHA, BETA
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* .. Array Arguments ..
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COMPLEX*16 A( LDA, * ), X( * ), Y( * )
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* ZGBMV performs one of the matrix-vector operations
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* y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or
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* y := alpha*conjg( A' )*x + beta*y,
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* where alpha and beta are scalars, x and y are vectors and A is an m
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* by n band matrix, with kl sub-diagonals and ku super-diagonals.
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* TRANS (input) CHARACTER*1
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* On entry, TRANS specifies the operation to be performed as
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* TRANS = 'N' or 'n', y := alpha*A *x + beta*y,
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* TRANS = 'T' or 't', y := alpha*A'*x + beta*y,
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* TRANS = 'C' or 'c', y := alpha*conjg( A' )*x + beta*y.
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* On entry, M specifies the number of rows of the matrix A.
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* M must be at least zero. Unchanged on exit.
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* On entry, N specifies the number of columns of the matrix A.
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* N must be at least zero. Unchanged on exit.
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* On entry, KL specifies the number of sub-diagonals of the ma-
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* trix A. KL must satisfy 0 .le. KL. Unchanged on exit.
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* On entry, KU specifies the number of super-diagonals of the
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* matrix A. KU must satisfy 0 .le. KU. Unchanged on exit.
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* ALPHA (input) COMPLEX*16
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* On entry, ALPHA specifies the scalar alpha. When ALPHA is
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* supplied as zero then A and X need not be set on input. Un-
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* A (input) COMPLEX*16 array
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* On entry, A is an array of DIMENSION ( LDA, n ). Before en-
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* try, the leading (kl+ku+1) by n part of the array A must con-
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* tain the matrix of coefficients, supplied column by column,
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* with the leading diagonal of the matrix in row (ku+1) of the
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* array, the first super-diagonal starting at position 2 in row
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* ku, the first sub-diagonal starting at position 1 in row
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* (ku+2), and so on. Elements in the array A that do not cor-
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* respond to elements in the band matrix (such as the top left
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* ku by ku triangle) are not referenced.
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* The following program segment will transfer a band matrix
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* from conventional full matrix storage to band storage:
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* DO 10, I = MAX( 1, J - KU ), MIN( M, J + KL )
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* A( K + I, J ) = matrix( I, J )
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* LDA (input) INTEGER
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* On entry, LDA specifies the first dimension of A as declared
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* in the calling (sub) program. LDA must be at least (kl+ku+1).
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* X (input) COMPLEX*16 array
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* On entry, X is an incremented array of dimension at least
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* ( 1 + ( n - 1 ) * abs( INCX ) ) when TRANS = 'N' or 'n' and
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* at least ( 1 + ( m - 1 ) * abs( INCX ) ) otherwise. Before
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* entry, the incremented array X must contain the vector x. Un-
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* INCX (input) INTEGER
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* On entry, INCX specifies the increment for the elements of X.
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* INCX must not be zero. Unchanged on exit.
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* BETA (input) COMPLEX*16
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* On entry, BETA specifies the scalar beta. When BETA is
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* supplied as zero then Y need not be set on input. Unchanged
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* Y (input/output) COMPLEX*16 array
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* On entry, Y is an incremented array of dimension at least
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* ( 1 + ( m - 1 ) * abs( INCY ) ) when TRANS = 'N' or 'n' and
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* at least ( 1 + ( n - 1 ) * abs( INCY ) ) otherwise. Before
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* entry with BETA non-zero, the incremented array Y must con-
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* tain the vector y. On exit, Y is overwritten by the updated
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* INCY (input) INTEGER
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* On entry, INCY specifies the increment for the elements of Y.
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* INCY must not be zero. Unchanged on exit.
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* For further information on the Level 1 BLAS specification, see:
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* ``A Proposal for Standard Linear Algebra Subprograms'' by R. Hanson,
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* F. Krogh and C. Lawson, ACM SIGNUM Newsl., 8(16), 1973,
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* ``Basic Linear Algebra Subprograms for Fortran Usage'' by C. Lawson,
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* R. Hanson, D. Kincaid and F. Krogh, ACM Transactions on Mathematical
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* Software, 5(3) pp 308-323, 1979.
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* For further information on the Level 2 BLAS specification, see:
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* ``An Extended Set of FORTRAN Basic Linear Algebra Subprograms'' by
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* J. Dongarra, J. Du Croz, S. Hammarling and R. Hanson, ACM Transac-
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* tions on Mathematical Software, 14(1) pp 1-17, 1988.
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* ``Algorithm 656: An extended Set of Basic Linear Algebra Subprograms:
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* Model Implementation and Test Programs'' by J. Dongarra, J. Du Croz,
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* S. Hammarling and R. Hanson, ACM Transactions on Mathematical Soft-
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* ware, 14(1) pp 18-32, 1988.
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* For further information on the Level 3 BLAS specification, see:
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* ``A Set of Level 3 Basic Linear Algebra Subprograms'' by J. Dongarra,
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* J. Du Croz, I. Duff and S. Hammarling, ACM Transactions on Mathemati-
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* cal Software, 16(1), pp 1-17, 1990.
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* =====================================================================
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INTEGER ICOTRAN, INOTRAN, ITRAN
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PARAMETER ( INOTRAN = 111, ITRAN = 112, ICOTRAN = 113 )
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* .. Local Scalars ..
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* .. External Subroutines ..
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EXTERNAL ATL_F77WRAP_ZGBMV, XERBLA
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* .. External Functions ..
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* .. Executable Statements ..
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IF( LSAME( TRANS, 'N' ) ) THEN
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ELSE IF( LSAME( TRANS, 'T' ) ) THEN
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ELSE IF( LSAME( TRANS, 'C' ) ) THEN
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ELSE IF( INFO.EQ.0 ) THEN
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ELSE IF( N.LT.0 ) THEN
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ELSE IF( KL.LT.0 ) THEN
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ELSE IF( KU.LT.0 ) THEN
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ELSE IF( LDA.LT.( KL + KU + 1 ) ) THEN
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ELSE IF( INCX.EQ.0 ) THEN
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ELSE IF( INCY.EQ.0 ) THEN
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CALL XERBLA( 'ZGBMV ', INFO )
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CALL ATL_F77WRAP_ZGBMV( ITRANS, M, N, KL, KU, ALPHA, A, LDA,
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$ X, INCX, BETA, Y, INCY )
added
removed
interfaces/blas/F77/src/zgbmv.f
