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# chbmv.f

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

chbmv.f -

## SYNOPSIS

### Functions/Subroutines

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

## Function 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

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 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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