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

6       CLANHP  -  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, supplied in packed form
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SYNOPSIS

11       REAL FUNCTION CLANHP( NORM, UPLO, N, AP, WORK )
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13           CHARACTER NORM, UPLO
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15           INTEGER   N
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17           REAL      WORK( * )
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19           COMPLEX   AP( * )
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PURPOSE

22       CLANHP   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,  supplied in packed form.
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DESCRIPTION

28       CLANHP returns the value
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30          CLANHP = ( 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 CLANHP 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 supplied.  = 'U':  Upper triangular part
53               of A is supplied
54               = 'L':  Lower triangular part of A is supplied
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56       N       (input) INTEGER
57               The order of the matrix A.  N >= 0.  When N = 0, CLANHP is  set
58               to zero.
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60       AP      (input) COMPLEX array, dimension (N*(N+1)/2)
61               The  upper  or lower triangle of the hermitian matrix A, packed
62               columnwise in a linear array.  The j-th column of A  is  stored
63               in  the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) =
64               A(i,j) for 1<=i<=j; if UPLO = 'L',  AP(i  +  (j-1)*(2n-j)/2)  =
65               A(i,j)  for  j<=i<=n.   Note  that  the  imaginary parts of the
66               diagonal elements need not be set and are assumed to be zero.
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68       WORK    (workspace) REAL array, dimension (MAX(1,LWORK)),
69               where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK
70               is not referenced.
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74 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       CLANHP(1)
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