LAPACK
3.4.2
LAPACK: Linear Algebra PACKage

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Functions/Subroutines  
DOUBLE PRECISION function  zlanhb (NORM, UPLO, N, K, AB, LDAB, WORK) 
ZLANHB returns the value of the 1norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix. 
DOUBLE PRECISION function zlanhb  (  character  NORM, 
character  UPLO,  
integer  N,  
integer  K,  
complex*16, dimension( ldab, * )  AB,  
integer  LDAB,  
double precision, dimension( * )  WORK  
) 
ZLANHB returns the value of the 1norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix.
Download ZLANHB + dependencies [TGZ] [ZIP] [TXT]ZLANHB returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n hermitian band matrix A, with k superdiagonals.
ZLANHB = ( max(abs(A(i,j))), NORM = 'M' or 'm' ( ( norm1(A), NORM = '1', 'O' or 'o' ( ( normI(A), NORM = 'I' or 'i' ( ( normF(A), NORM = 'F', 'f', 'E' 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(A(i,j))) is not a consistent matrix norm.
[in]  NORM  NORM is CHARACTER*1 Specifies the value to be returned in ZLANHB as described above. 
[in]  UPLO  UPLO is CHARACTER*1 Specifies whether the upper or lower triangular part of the band matrix A is supplied. = 'U': Upper triangular = 'L': Lower triangular 
[in]  N  N is INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANHB is set to zero. 
[in]  K  K is INTEGER The number of superdiagonals or subdiagonals of the band matrix A. K >= 0. 
[in]  AB  AB is COMPLEX*16 array, dimension (LDAB,N) The upper or lower triangle of the hermitian band matrix A, stored in the first K+1 rows of AB. The jth column of A is stored in the jth column of the array AB as follows: if UPLO = 'U', AB(k+1+ij,j) = A(i,j) for max(1,jk)<=i<=j; if UPLO = 'L', AB(1+ij,j) = A(i,j) for j<=i<=min(n,j+k). Note that the imaginary parts of the diagonal elements need not be set and are assumed to be zero. 
[in]  LDAB  LDAB is INTEGER The leading dimension of the array AB. LDAB >= K+1. 
[out]  WORK  WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK is not referenced. 
Definition at line 132 of file zlanhb.f.