Zlangb Zlange Zlangt Zlanhb Zlanhe Zlanhp Zlanht Zlansb Zlansp Zlansy Zlantr

Zlanhe() Function Zlanhe ( Norm As  String, Uplo As  String, N As  Long, A() As  Complex, Optional Info As  Long  ) One norm, Frobenius norm, infinity norm, or largest absolute value of any element of a Hermitian matrix 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 Hermitian matrix A. Returns Double 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] Norm Specifies the value to be returned by Zlanhe as described above. Note that normI(A) = norm1(A) since A is Hermitian. [in] Uplo Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced. = "U": Only the upper triangular part is to be referenced. = "L": Only the lower triangular part is to be referenced. [in] N Order of the matrix A. (N >= 0) (If N = 0, returns 0) [in] A() Array A(LA1 - 1, LA2 - 1) (LA1 >= N, LA2 >= N) N x N symmetric matrix A. Only the upper or lower triangular part is to be referenced in accordance with Uplo. The imaginary parts of the diagonal elements need not be set and are assumed to be zero. [out] Info (Optional) = 0: Successful exit. = -1: The argument Norm had an illegal value. (Norm <> "M", "1", "O", "I", "F" nor "E") = -2: The argument Uplo had an illegal value. (Uplo <> "U" nor "L") = -3: The argument N had an illegal value. (N < 0) = -4: The argument A() is invalid. Reference LAPACK