Zlangb Zlange Zlangt Zlanhb Zlanhe Zlanhp Zlanht Zlansb Zlansp Zlansy Zlantr

Zlantr() Function Zlantr ( Norm As  String, Uplo As  String, Diag As  String, M As  Long, N As  Long, A() As  Complex, Optional Info As  Long  ) One norm, Frobenius norm, infinity norm, or element of largest absolute value of a complex trapezoidal or triangular matrix Purpose This routine returns the value of the one norm, the Frobenius norm, the infinity norm, or the element of largest absolute value of a complex trapezoidal or triangular 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 Zlantr as described above. [in] Uplo Specifies whether the matrix A is upper or lower trapezoidal. = "U": Upper trapezoidal. = "L": Lower trapezoidal. Note that A is triangular instead of trapezoidal if M = N. [in] Diag Specifies whether or not the matrix A has unit diagonal. = 'N': Non-unit diagonal. = 'U': Unit diagonal. [in] M The number of rows of the matrix A. (M >= 0, and if Uplo = "U", M <= N) When M = 0, returns zero. [in] N The number of columns of the matrix A. (N >= 0, and if Uplo = "L", N <= M) When N = 0, returns zero. [in] A() Array A(LA1 - 1, LA2 - 1) (LA1 >= M, LA2 >= N) The trapezoidal matrix A (A is triangular if M = N). If Uplo = "U", the leading M by N upper trapezoidal part of the array A contains the upper trapezoidal matrix, and the strictly lower triangular part of A is not referenced. If Uplo = "L", the leading M by N lower trapezoidal part of the array A contains the lower trapezoidal matrix, and the strictly upper triangular part of A is not referenced. Note that when Diag = "U", the diagonal elements of A are not referenced and are assumed to be one. [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 Diag had an illegal value. (Diag <> "N" nor "U") = -4: The argument M had an illegal value. (M < 0, Uplo = "U" and M > N) = -5: The argument N had an illegal value. (N < 0, Uplo = "L" and N > M) = -6: The argument A() is invalid. Reference LAPACK