--- 
:name: zlanhf
:md5sum: 70d3555cf9335d87bbaccab9490116b5
:category: :function
:type: doublereal
:arguments: 
- norm: 
    :type: char
    :intent: input
- transr: 
    :type: char
    :intent: input
- uplo: 
    :type: char
    :intent: input
- n: 
    :type: integer
    :intent: input
- a: 
    :type: doublecomplex
    :intent: input
    :dims: 
    - n*(n+1)/2
- work: 
    :type: doublereal
    :intent: workspace
    :dims: 
    - lwork
:substitutions: 
  lwork: "((lsame_(&norm,\"I\")) || ((('1') || ('o')))) ? n : 0"
:fortran_help: "      DOUBLE PRECISION FUNCTION ZLANHF( NORM, TRANSR, UPLO, N, A, WORK )\n\n\
  *  Purpose\n\
  *  =======\n\
  *\n\
  *  ZLANHF  returns the value of the one norm,  or the Frobenius norm, or\n\
  *  the  infinity norm,  or the  element of  largest absolute value  of a\n\
  *  complex Hermitian matrix A in RFP format.\n\
  *\n\
  *  Description\n\
  *  ===========\n\
  *\n\
  *  ZLANHF returns the value\n\
  *\n\
  *     ZLANHF = ( max(abs(A(i,j))), NORM = 'M' or 'm'\n\
  *              (\n\
  *              ( norm1(A),         NORM = '1', 'O' or 'o'\n\
  *              (\n\
  *              ( normI(A),         NORM = 'I' or 'i'\n\
  *              (\n\
  *              ( normF(A),         NORM = 'F', 'f', 'E' or 'e'\n\
  *\n\
  *  where  norm1  denotes the  one norm of a matrix (maximum column sum),\n\
  *  normI  denotes the  infinity norm  of a matrix  (maximum row sum) and\n\
  *  normF  denotes the  Frobenius norm of a matrix (square root of sum of\n\
  *  squares).  Note that  max(abs(A(i,j)))  is not a  matrix norm.\n\
  *\n\n\
  *  Arguments\n\
  *  =========\n\
  *\n\
  *  NORM      (input) CHARACTER\n\
  *            Specifies the value to be returned in ZLANHF as described\n\
  *            above.\n\
  *\n\
  *  TRANSR    (input) CHARACTER\n\
  *            Specifies whether the RFP format of A is normal or\n\
  *            conjugate-transposed format.\n\
  *            = 'N':  RFP format is Normal\n\
  *            = 'C':  RFP format is Conjugate-transposed\n\
  *\n\
  *  UPLO      (input) CHARACTER\n\
  *            On entry, UPLO specifies whether the RFP matrix A came from\n\
  *            an upper or lower triangular matrix as follows:\n\
  *\n\
  *            UPLO = 'U' or 'u' RFP A came from an upper triangular\n\
  *            matrix\n\
  *\n\
  *            UPLO = 'L' or 'l' RFP A came from a  lower triangular\n\
  *            matrix\n\
  *\n\
  *  N         (input) INTEGER\n\
  *            The order of the matrix A.  N >= 0.  When N = 0, ZLANHF is\n\
  *            set to zero.\n\
  *\n\
  *   A        (input) COMPLEX*16 array, dimension ( N*(N+1)/2 );\n\
  *            On entry, the matrix A in RFP Format.\n\
  *            RFP Format is described by TRANSR, UPLO and N as follows:\n\
  *            If TRANSR='N' then RFP A is (0:N,0:K-1) when N is even;\n\
  *            K=N/2. RFP A is (0:N-1,0:K) when N is odd; K=N/2. If\n\
  *            TRANSR = 'C' then RFP is the Conjugate-transpose of RFP A\n\
  *            as defined when TRANSR = 'N'. The contents of RFP A are\n\
  *            defined by UPLO as follows: If UPLO = 'U' the RFP A\n\
  *            contains the ( N*(N+1)/2 ) elements of upper packed A\n\
  *            either in normal or conjugate-transpose Format. If\n\
  *            UPLO = 'L' the RFP A contains the ( N*(N+1) /2 ) elements\n\
  *            of lower packed A either in normal or conjugate-transpose\n\
  *            Format. The LDA of RFP A is (N+1)/2 when TRANSR = 'C'. When\n\
  *            TRANSR is 'N' the LDA is N+1 when N is even and is N when\n\
  *            is odd. See the Note below for more details.\n\
  *            Unchanged on exit.\n\
  *\n\
  *  WORK      (workspace) DOUBLE PRECISION array, dimension (LWORK),\n\
  *            where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,\n\
  *            WORK is not referenced.\n\
  *\n\n\
  *  Further Details\n\
  *  ===============\n\
  *\n\
  *  We first consider Standard Packed Format when N is even.\n\
  *  We give an example where N = 6.\n\
  *\n\
  *      AP is Upper             AP is Lower\n\
  *\n\
  *   00 01 02 03 04 05       00\n\
  *      11 12 13 14 15       10 11\n\
  *         22 23 24 25       20 21 22\n\
  *            33 34 35       30 31 32 33\n\
  *               44 45       40 41 42 43 44\n\
  *                  55       50 51 52 53 54 55\n\
  *\n\
  *\n\
  *  Let TRANSR = 'N'. RFP holds AP as follows:\n\
  *  For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last\n\
  *  three columns of AP upper. The lower triangle A(4:6,0:2) consists of\n\
  *  conjugate-transpose of the first three columns of AP upper.\n\
  *  For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first\n\
  *  three columns of AP lower. The upper triangle A(0:2,0:2) consists of\n\
  *  conjugate-transpose of the last three columns of AP lower.\n\
  *  To denote conjugate we place -- above the element. This covers the\n\
  *  case N even and TRANSR = 'N'.\n\
  *\n\
  *         RFP A                   RFP A\n\
  *\n\
  *                                -- -- --\n\
  *        03 04 05                33 43 53\n\
  *                                   -- --\n\
  *        13 14 15                00 44 54\n\
  *                                      --\n\
  *        23 24 25                10 11 55\n\
  *\n\
  *        33 34 35                20 21 22\n\
  *        --\n\
  *        00 44 45                30 31 32\n\
  *        -- --\n\
  *        01 11 55                40 41 42\n\
  *        -- -- --\n\
  *        02 12 22                50 51 52\n\
  *\n\
  *  Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate-\n\
  *  transpose of RFP A above. One therefore gets:\n\
  *\n\
  *\n\
  *           RFP A                   RFP A\n\
  *\n\
  *     -- -- -- --                -- -- -- -- -- --\n\
  *     03 13 23 33 00 01 02    33 00 10 20 30 40 50\n\
  *     -- -- -- -- --                -- -- -- -- --\n\
  *     04 14 24 34 44 11 12    43 44 11 21 31 41 51\n\
  *     -- -- -- -- -- --                -- -- -- --\n\
  *     05 15 25 35 45 55 22    53 54 55 22 32 42 52\n\
  *\n\
  *\n\
  *  We next  consider Standard Packed Format when N is odd.\n\
  *  We give an example where N = 5.\n\
  *\n\
  *     AP is Upper                 AP is Lower\n\
  *\n\
  *   00 01 02 03 04              00\n\
  *      11 12 13 14              10 11\n\
  *         22 23 24              20 21 22\n\
  *            33 34              30 31 32 33\n\
  *               44              40 41 42 43 44\n\
  *\n\
  *\n\
  *  Let TRANSR = 'N'. RFP holds AP as follows:\n\
  *  For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last\n\
  *  three columns of AP upper. The lower triangle A(3:4,0:1) consists of\n\
  *  conjugate-transpose of the first two   columns of AP upper.\n\
  *  For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first\n\
  *  three columns of AP lower. The upper triangle A(0:1,1:2) consists of\n\
  *  conjugate-transpose of the last two   columns of AP lower.\n\
  *  To denote conjugate we place -- above the element. This covers the\n\
  *  case N odd  and TRANSR = 'N'.\n\
  *\n\
  *         RFP A                   RFP A\n\
  *\n\
  *                                   -- --\n\
  *        02 03 04                00 33 43\n\
  *                                      --\n\
  *        12 13 14                10 11 44\n\
  *\n\
  *        22 23 24                20 21 22\n\
  *        --\n\
  *        00 33 34                30 31 32\n\
  *        -- --\n\
  *        01 11 44                40 41 42\n\
  *\n\
  *  Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate-\n\
  *  transpose of RFP A above. One therefore gets:\n\
  *\n\
  *\n\
  *           RFP A                   RFP A\n\
  *\n\
  *     -- -- --                   -- -- -- -- -- --\n\
  *     02 12 22 00 01             00 10 20 30 40 50\n\
  *     -- -- -- --                   -- -- -- -- --\n\
  *     03 13 23 33 11             33 11 21 31 41 51\n\
  *     -- -- -- -- --                   -- -- -- --\n\
  *     04 14 24 34 44             43 44 22 32 42 52\n\
  *\n\
  *  =====================================================================\n\
  *\n"
