1ZSYR(1)             LAPACK auxiliary routine (version 3.2)             ZSYR(1)
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NAME

6       ZSYR  - performs the symmetric rank 1 operation   A := alpha*x*( x' ) +
7       A,
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SYNOPSIS

10       SUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA )
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12           CHARACTER    UPLO
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14           INTEGER      INCX, LDA, N
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16           COMPLEX*16   ALPHA
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18           COMPLEX*16   A( LDA, * ), X( * )
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PURPOSE

21       ZSYR   performs the symmetric rank 1 operation where alpha is a complex
22       scalar, x is an n element vector and A is an n by n symmetric matrix.
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ARGUMENTS

25       UPLO     (input) CHARACTER*1
26                On entry, UPLO specifies whether the upper or lower triangular
27                part of the array A is to be referenced as follows: UPLO = 'U'
28                or  'u'    Only the upper triangular part of A is to be refer‐
29                enced.  UPLO = 'L' or 'l'   Only the lower triangular part  of
30                A is to be referenced.  Unchanged on exit.
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32       N        (input) INTEGER
33                On entry, N specifies the order of the matrix A.  N must be at
34                least zero.  Unchanged on exit.
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36       ALPHA    (input) COMPLEX*16
37                On entry, ALPHA specifies  the  scalar  alpha.   Unchanged  on
38                exit.
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40       X        (input) COMPLEX*16 array, dimension at least
41                (  1 + ( N - 1 )*abs( INCX ) ).  Before entry, the incremented
42                array X must contain the N- element vector  x.   Unchanged  on
43                exit.
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45       INCX     (input) INTEGER
46                On  entry, INCX specifies the increment for the elements of X.
47                INCX must not be zero.  Unchanged on exit.
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49       A        (input/output) COMPLEX*16 array, dimension ( LDA, N )
50                Before entry, with  UPLO = 'U' or 'u',  the  leading  n  by  n
51                upper  triangular  part  of the array A must contain the upper
52                triangular part of the symmetric matrix and the strictly lower
53                triangular  part  of  A  is not referenced. On exit, the upper
54                triangular part of the array A is  overwritten  by  the  upper
55                triangular  part  of  the  updated matrix.  Before entry, with
56                UPLO = 'L' or 'l', the leading n by n lower triangular part of
57                the array A must contain the lower triangular part of the sym‐
58                metric matrix and the strictly upper triangular part of  A  is
59                not  referenced.  On  exit,  the  lower triangular part of the
60                array A is overwritten by the lower  triangular  part  of  the
61                updated matrix.
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63       LDA      (input) INTEGER
64                On  entry,  LDA specifies the first dimension of A as declared
65                in the calling (sub) program. LDA must be at least max(  1,  N
66                ).  Unchanged on exit.
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70 LAPACK auxiliary routine (versionNo3v.e2m)ber 2008                         ZSYR(1)
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