Zlangb Zlange Zlangt Zlanhb Zlanhe Zlanhp Zlanht Zlansb Zlansp Zlansy Zlantr

Zlangb() Function Zlangb ( Norm As  String, N As  Long, Kl As  Long, Ku As  Long, Ab() As  Complex, Optional Info As  Long, Optional Offset As  Long  ) One norm, Frobenius norm, infinity norm, or largest absolute value of any element of a complex band 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 an n x n complex band matrix A, with kl sub-diagonals and ku super-diagonals. 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 Zlangb as described above. [in] N Order of the matrix A. (N >= 0) (If N = 0, returns 0) [in] Kl Number of sub-diagonals of the matrix A. (Kl >= 0) [in] Ku Number of super-diagonals of the matrix A. (Ku >= 0) [in] Ab() Array Ab(LAb1 - 1, LAb2 - 1) (LAb1 >= Kl + Ku + 1, LAb2 >= N) M x N band matrix A in Kl+Ku+1 x N band matrix form. [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 N had an illegal value. (N < 0) = -3: The argument Kl had an illegal value. (Kl < 0) = -4: The argument Ku had an illegal value. (Ku < 0) = -5: The argument Ab() is invalid. [in] Offset (Optional) Number of rows from the top of array Ab() to the first row of M x N band matrix A. (Offset >= 0) (default = 0) Reference LAPACK