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MAN page from openSUSE Leap 42 blas-man-3.4.2-3.6.1.noarch.rpm

chbmv.f

Section: LAPACK (3)
Updated: Wed Oct 17 2018
Index 

NAME

chbmv.f -  

SYNOPSIS


 

Functions/Subroutines


subroutine CHBMV (UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
CHBMV  

Function/Subroutine Documentation

 

subroutine CHBMV (characterUPLO, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA, complex, dimension(*)Y, integerINCY)

CHBMV Purpose:

 CHBMV  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           On entry, ALPHA specifies the scalar alpha.


A

          A is COMPLEX 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 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           On entry, BETA specifies the scalar beta.


Y

          Y is COMPLEX 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 chbmv.f. 

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
subroutine CHBMV (characterUPLO, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA, complex, dimension(*)Y, integerINCY)
Author

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