SRC/clansp.f(3)            Library Functions Manual            SRC/clansp.f(3)

NAME
       SRC/clansp.f

SYNOPSIS
   Functions/Subroutines
       real function clansp (norm, uplo, n, ap, work)
           CLANSP returns the value of the 1-norm, or the Frobenius norm, or
           the infinity norm, or the element of largest absolute value of a
           symmetric matrix supplied in packed form.

Function/Subroutine Documentation
   real function clansp (character norm, character uplo, integer n, complex,
       dimension( * ) ap, real, dimension( * ) work)
       CLANSP returns the value of the 1-norm, or the Frobenius norm, or the
       infinity norm, or the element of largest absolute value of a symmetric
       matrix supplied in packed form.

       Purpose:


           !>
           !> CLANSP  returns the value of the one norm,  or the Frobenius norm, or
           !> the  infinity norm,  or the  element of  largest absolute value  of a
           !> complex symmetric matrix A,  supplied in packed form.
           !>

       Returns
           CLANSP

           !>
           !>    CLANSP = ( max(abs(A(i,j))), NORM = 'M' or 'm'
           !>             (
           !>             ( norm1(A),         NORM = '1', 'O' or 'o'
           !>             (
           !>             ( normI(A),         NORM = 'I' or 'i'
           !>             (
           !>             ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
           !>
           !> where  norm1  denotes the  one norm of a matrix (maximum column sum),
           !> normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
           !> normF  denotes the  Frobenius norm of a matrix (square root of sum of
           !> squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.
           !>

       Parameters
           NORM

           !>          NORM is CHARACTER*1
           !>          Specifies the value to be returned in CLANSP as described
           !>          above.
           !>

           UPLO

           !>          UPLO is CHARACTER*1
           !>          Specifies whether the upper or lower triangular part of the
           !>          symmetric matrix A is supplied.
           !>          = 'U':  Upper triangular part of A is supplied
           !>          = 'L':  Lower triangular part of A is supplied
           !>

           N

           !>          N is INTEGER
           !>          The order of the matrix A.  N >= 0.  When N = 0, CLANSP is
           !>          set to zero.
           !>

           AP

           !>          AP is COMPLEX array, dimension (N*(N+1)/2)
           !>          The upper or lower triangle of the symmetric matrix A, packed
           !>          columnwise in a linear array.  The j-th column of A is stored
           !>          in the array AP as follows:
           !>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
           !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
           !>

           WORK

           !>          WORK is REAL array, dimension (MAX(1,LWORK)),
           !>          where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
           !>          WORK is not referenced.
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 114 of file clansp.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/clansp.f(3)