ZLANSP(3f)

NAME
ZLANSP - 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

SYNOPSIS

DOUBLE PRECISION
    FUNCTION ZLANSP( NORM, UPLO, N, AP, WORK )

CHARACTER
    NORM, UPLO

INTEGER
    N

DOUBLE
    PRECISION WORK( * )

COMPLEX*16
    AP( * )

PURPOSE
ZLANSP 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.

DESCRIPTION
ZLANSP returns the value
   ZLANSP = ( 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.

ARGUMENTS

NORM    (input) CHARACTER*1
    Specifies the value to be returned in ZLANSP as described above.

UPLO    (input) 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       (input) INTEGER
    The order of the matrix A. N >= 0. When N = 0, ZLANSP is set to zero.

AP      (input) COMPLEX*16 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    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
    where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK is not referenced.