1CLANHE(1)           LAPACK auxiliary routine (version 3.1)           CLANHE(1)
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NAME

6       CLANHE  -  the  value  of  the  one norm, or the Frobenius norm, or the
7       infinity norm, or the element of largest absolute value  of  a  complex
8       hermitian matrix A
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SYNOPSIS

11       REAL FUNCTION CLANHE( NORM, UPLO, N, A, LDA, WORK )
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13           CHARACTER NORM, UPLO
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15           INTEGER   LDA, N
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17           REAL      WORK( * )
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19           COMPLEX   A( LDA, * )
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PURPOSE

22       CLANHE   returns  the value of the one norm,  or the Frobenius norm, or
23       the  infinity norm,  or the  element of  largest absolute value   of  a
24       complex hermitian matrix A.
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DESCRIPTION

28       CLANHE returns the value
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30          CLANHE = ( max(abs(A(i,j))), NORM = 'M' or 'm'
31                   (
32                   ( norm1(A),         NORM = '1', 'O' or 'o'
33                   (
34                   ( normI(A),         NORM = 'I' or 'i'
35                   (
36                   ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
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38       where   norm1   denotes the  one norm of a matrix (maximum column sum),
39       normI  denotes the  infinity norm  of a matrix  (maximum row  sum)  and
40       normF   denotes  the  Frobenius norm of a matrix (square root of sum of
41       squares).  Note that  max(abs(A(i,j)))   is  not  a  consistent  matrix
42       norm.
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ARGUMENTS

46       NORM    (input) CHARACTER*1
47               Specifies  the  value  to  be  returned  in CLANHE as described
48               above.
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50       UPLO    (input) CHARACTER*1
51               Specifies whether the upper or lower  triangular  part  of  the
52               hermitian matrix A is to be referenced.  = 'U':  Upper triangu‐
53               lar part of A is referenced
54               = 'L':  Lower triangular part of A is referenced
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56       N       (input) INTEGER
57               The order of the matrix A.  N >= 0.  When N = 0, CLANHE is  set
58               to zero.
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60       A       (input) COMPLEX array, dimension (LDA,N)
61               The  hermitian  matrix  A.   If  UPLO = 'U', the leading n by n
62               upper triangular part of A contains the upper  triangular  part
63               of the matrix A, and the strictly lower triangular part of A is
64               not referenced.  If UPLO = 'L', the leading n by n lower trian‐
65               gular  part  of  A  contains  the  lower triangular part of the
66               matrix A, and the strictly upper triangular part of  A  is  not
67               referenced.  Note that the imaginary parts of the diagonal ele‐
68               ments need not be set and are assumed to be zero.
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70       LDA     (input) INTEGER
71               The leading dimension of the array A.  LDA >= max(N,1).
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73       WORK    (workspace) REAL array, dimension (MAX(1,LWORK)),
74               where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK
75               is not referenced.
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79 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       CLANHE(1)
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