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template<typename T, typename Ta>
Ta lanhp(char *norm, char *uplo, integer *n, T *ap, Ta *work)# LANHP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of a complex Hermitian matrix supplied in packed form.
Purpose:
LANHP 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 hermitian matrix A, supplied in packed form. CLANHP = (fla_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 fla_max(abs(A(i,j))) is not a consistent matrix norm.
- Parameters:
NORM – [in]
NORM is CHARACTER*1
Specifies the value to be returned in CLANHP as described above.
UPLO – [in]
UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the hermitian matrix A is supplied.
= ‘U’: Upper triangular part of A is supplied
= ‘L’: Lower triangular part of A is supplied
N – [in]
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANHP is set to zero.
AP – [in]
AP is COMPLEX array, dimension (N*(N+1)/2)
The upper or lower triangle of the hermitian 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.
Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.WORK – [out]
WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = ‘I’ or ‘1’ or ‘O’; otherwise, WORK is not referenced.
- Returns:
Returns the value of norm.