.TH "TESTING/LIN/zsbmv.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/zsbmv.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzsbmv\fP (uplo, n, k, alpha, a, lda, x, incx, beta, y, incy)"
.br
.RI "\fBZSBMV\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine zsbmv (character uplo, integer n, integer k, complex*16 alpha, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) x, integer incx, complex*16 beta, complex*16, dimension( * ) y, integer incy)"

.PP
\fBZSBMV\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> ZSBMV  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 symmetric band matrix, with k super-diagonals\&.
!> 
.fi
.PP
 
.PP
.nf
!>  UPLO   - 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\&.
!>
!>           Unchanged on exit\&.
!>
!>  N      - INTEGER
!>           On entry, N specifies the order of the matrix A\&.
!>           N must be at least zero\&.
!>           Unchanged on exit\&.
!>
!>  K      - INTEGER
!>           On entry, K specifies the number of super-diagonals of the
!>           matrix A\&. K must satisfy  0 \&.le\&. K\&.
!>           Unchanged on exit\&.
!>
!>  ALPHA  - COMPLEX*16
!>           On entry, ALPHA specifies the scalar alpha\&.
!>           Unchanged on exit\&.
!>
!>  A      - COMPLEX*16 array, 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 symmetric 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 symmetric 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 symmetric 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 symmetric 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
!>
!>           Unchanged on exit\&.
!>
!>  LDA    - INTEGER
!>           On entry, LDA specifies the first dimension of A as declared
!>           in the calling (sub) program\&. LDA must be at least
!>           ( k + 1 )\&.
!>           Unchanged on exit\&.
!>
!>  X      - COMPLEX*16 array, dimension at least
!>           ( 1 + ( N - 1 )*abs( INCX ) )\&.
!>           Before entry, the incremented array X must contain the
!>           vector x\&.
!>           Unchanged on exit\&.
!>
!>  INCX   - INTEGER
!>           On entry, INCX specifies the increment for the elements of
!>           X\&. INCX must not be zero\&.
!>           Unchanged on exit\&.
!>
!>  BETA   - COMPLEX*16
!>           On entry, BETA specifies the scalar beta\&.
!>           Unchanged on exit\&.
!>
!>  Y      - COMPLEX*16 array, 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   - INTEGER
!>           On entry, INCY specifies the increment for the elements of
!>           Y\&. INCY must not be zero\&.
!>           Unchanged on exit\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB150\fP of file \fBzsbmv\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.