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template<typename T, typename Ta>
Ta lanhe(char *norm, char *uplo, integer *n, T *a, integer *lda, Ta *work)# LANHE 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.
Purpose:
LANHE 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. * \b Returns LANHE CLANHE = ( 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 CLANHE as described above.
UPLO – [in]
UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced.
= ‘U’: Upper triangular part of A is referenced
= ‘L’: Lower triangular part of A is referenced
N – [in]
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANHE is set to zero.
A – [in]
A is COMPLEX array, dimension (LDA,N)
The hermitian matrix A. If UPLO = ‘U’, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = ‘L’, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero.
LDA – [in]
LDA is INTEGER
The leading dimension of the array A. LDA >= fla_max(N,1).
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 value of the norm.