zlangb zlange zlangt zlanhb zlanhe zlanhp zlanht zlansb zlansp zlansy zlantr

zlantr() double zlantr ( char  norm, char  uplo, char  diag, int  m, int  n, int  lda, doublecomplex  a[], double  work[]  ) 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 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. Note that A is triangular instead of trapezoidal if M = N. [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] lda Leading dimension of the two dimensional array a[][]. (lda >= max(1, m)) [in] a[][] Array a[la][lda] (la >= 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] work[] Array work[lwork] (lwork >= max(1, m) when norm = 'I', otherwise work[] is not referenced) Work array. Reference LAPACK