Zlangb Zlange Zlangt Zlanhb Zlanhe Zlanhp Zlanht Zlansb Zlansp Zlansy Zlantr

Zlansp() Function Zlansp ( Norm As  String, Uplo As  String, N As  Long, Ap() As  Complex, Optional Info As  Long  ) 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 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 Zlansp 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 supplied. = "U": Upper triangular part is supplied. = "L": Lower triangular part is supplied. [in] N Order of the matrix A. (N >= 0) (If N = 0, returns 0) [in] Ap() Array Ap(LAp - 1) (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] 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 Ap() is invalid. Reference LAPACK