XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ zlansp()

double zlansp ( char  norm,
char  uplo,
int  n,
doublecomplex  ap[],
double  work[] 
)

One norm, Frobenius norm, infinity norm, or largest absolute value of any element of a complex symmetric matrix in packed form

Purpose
This routine returns the value of the one norm, the Frobenius norm, the infinity norm, or the largest absolute value of any element of a complex symmetric matrix A, supplied in packed form.
Returns
max(abs(Aij)) when norm = 'M',
norm1(A) when norm = '1' or 'O',
normI(A) when norm = 'I', or
normF(A) when norm = 'F' 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(Aij)) is not a consistent matrix norm.
Parameters
[in]normSpecifies the value to be returned by zlansp as described above. Note that normI(A) = norm1(A) since A is symmetric.
[in]uploSpecifies 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.
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns 0)
[in]ap[]Array ap[lap] (lap >= n(n + 1)/2)
n x n symmetric matrix A in packed form. Upper or lower part is to be stored in accordance with uplo.
[out]work[]Array work[lwork] (lwork >= max(1, n) when norm = 'I', '1' or 'O', otherwise work[] is not referenced)
Work array.
Reference
LAPACK