Zlangb Zlange Zlangt Zlanhb Zlanhe Zlanhp Zlanht Zlansb Zlansp Zlansy Zlantr

Zlansy() Function Zlansy ( 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 complex symmetric 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 complex symmetric 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 Zlansy as described above. Note that normI(A) = norm1(A) since A is symmetric. [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. [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