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MAN page from OpenSuSE blas-man-3.4.2-3.6.2.x86_64.rpm

cgbmv.f

Section: LAPACK (3)
Updated: Thu Jun 23 2016
Index 

NAME

cgbmv.f -  

SYNOPSIS


 

Functions/Subroutines


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

Function 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. 


 

Parameters:

TRANS

          TRANS is CHARACTER*1           On entry, TRANS specifies the operation to be performed as           follows:              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

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


N

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


KL

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


KU

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


ALPHA

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


A

          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              20 CONTINUE 


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           ( kl + ku + 1 ). 


X

          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

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


BETA

          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

          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

          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 cgbmv.f. 

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function Documentation
subroutine CGBMV (CHARACTERTRANS, INTEGERM, INTEGERN, INTEGERKL, INTEGERKU, COMPLEXALPHA, COMPLEX,dimension(lda,*)A, INTEGERLDA, COMPLEX,dimension(*)X, INTEGERINCX, COMPLEXBETA, COMPLEX,dimension(*)Y, INTEGERINCY)
Author

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