1ZHEMV(1)                         BLAS routine                         ZHEMV(1)
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NAME

6       ZHEMV - the matrix-vector operation   y := alpha*A*x + beta*y,
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SYNOPSIS

9       SUBROUTINE ZHEMV(UPLO,N,ALPHA,A,LDA,X,INCX,BETA,Y,INCY)
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11           DOUBLE                                              COMPLEX
12                                                               ALPHA,BETA
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14           INTEGER                                             INCX,INCY,LDA,N
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16           CHARACTER                                           UPLO
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18           DOUBLE                                              COMPLEX
19                                                               A(LDA,*),X(*),Y(*)
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PURPOSE

22       ZHEMV  performs the matrix-vector  operation
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24       where alpha and beta are scalars, x and y are n element vectors  and  A
25       is an n by n hermitian matrix.
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ARGUMENTS

29       UPLO   - CHARACTER*1.
30              On  entry,  UPLO specifies whether the upper or lower triangular
31              part of the array A is to be referenced as follows:
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33              UPLO = 'U' or 'u'   Only the upper triangular part of A is to be
34              referenced.
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36              UPLO = 'L' or 'l'   Only the lower triangular part of A is to be
37              referenced.
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39              Unchanged on exit.
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41       N      - INTEGER.
42              On entry, N specifies the order of the matrix A.  N must  be  at
43              least zero.  Unchanged on exit.
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45       ALPHA  - COMPLEX*16      .
46              On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.
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48       A      - COMPLEX*16       array of DIMENSION ( LDA, n ).
49              Before  entry  with  UPLO = 'U' or 'u', the leading n by n upper
50              triangular part of the array A must contain the upper triangular
51              part  of  the hermitian matrix and the strictly lower triangular
52              part of A is not referenced.  Before entry with UPLO  =  'L'  or
53              'l',  the  leading  n  by n lower triangular part of the array A
54              must contain the lower triangular part of the  hermitian  matrix
55              and  the  strictly upper triangular part of A is not referenced.
56              Note that the imaginary parts of the diagonal elements need  not
57              be set and are assumed to be zero.  Unchanged on exit.
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59       LDA    - INTEGER.
60              On  entry, LDA specifies the first dimension of A as declared in
61              the calling (sub) program. LDA must be at least  max(  1,  n  ).
62              Unchanged on exit.
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64       X      - COMPLEX*16       array of dimension at least
65              (  1  +  ( n - 1 )*abs( INCX ) ).  Before entry, the incremented
66              array X must contain the n element vector x.  Unchanged on exit.
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68       INCX   - INTEGER.
69              On entry, INCX specifies the increment for the  elements  of  X.
70              INCX must not be zero.  Unchanged on exit.
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72       BETA   - COMPLEX*16      .
73              On  entry, BETA specifies the scalar beta. When BETA is supplied
74              as zero then Y need not be set on input.  Unchanged on exit.
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76       Y      - COMPLEX*16       array of dimension at least
77              ( 1 + ( n - 1 )*abs( INCY ) ).  Before  entry,  the  incremented
78              array Y must contain the n element vector y. On exit, Y is over‐
79              written by the updated vector y.
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81       INCY   - INTEGER.
82              On entry, INCY specifies the increment for the  elements  of  Y.
83              INCY must not be zero.  Unchanged on exit.
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85              Level 2 Blas routine.
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87              --  Written on 22-October-1986.  Jack Dongarra, Argonne National
88              Lab.  Jeremy Du Croz, Nag Central Office.  Sven Hammarling,  Nag
89              Central Office.  Richard Hanson, Sandia National Labs.
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93BLAS routine                     November 2006                        ZHEMV(1)