clanhb (l)  Linux Man Pages
clanhb: 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
Command to display clanhb
manual in Linux: $ man l clanhb
NAME
CLANHB  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
SYNOPSIS
 REAL FUNCTION

CLANHB( NORM, UPLO, N, K, AB, LDAB,
WORK )

CHARACTER
NORM, UPLO

INTEGER
K, LDAB, N

REAL
WORK( * )

COMPLEX
AB( LDAB, * )
PURPOSE
CLANHB 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.
DESCRIPTION
CLANHB returns the value
CLANHB
= ( max(abs(A(i,j))), NORM = aqMaq or aqmaq
(
( norm1(A), NORM = aq1aq, aqOaq or aqoaq
(
( normI(A), NORM = aqIaq or aqiaq
(
( normF(A), NORM = aqFaq, aqfaq, aqEaq or aqeaq
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.
ARGUMENTS
 NORM (input) CHARACTER*1

Specifies the value to be returned in CLANHB as described
above.
 UPLO (input) CHARACTER*1

Specifies whether the upper or lower triangular part of the
band matrix A is supplied.
= aqUaq: Upper triangular
= aqLaq: Lower triangular
 N (input) INTEGER

The order of the matrix A. N >= 0. When N = 0, CLANHB is
set to zero.
 K (input) INTEGER

The number of superdiagonals or subdiagonals of the
band matrix A. K >= 0.
 AB (input) COMPLEX 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 = aqUaq, AB(k+1+ij,j) = A(i,j) for max(1,jk)<=i<=j;
if UPLO = aqLaq, 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.
 LDAB (input) INTEGER

The leading dimension of the array AB. LDAB >= K+1.
 WORK (workspace) REAL array, dimension (MAX(1,LWORK)),

where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise,
WORK is not referenced.
Pages related to clanhb
 clanhb (3)
 clanhe (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex hermitian matrix A
 clanhf (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix A in RFP format
 clanhp (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex hermitian matrix A, supplied in packed form
 clanhs (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hessenberg matrix A
 clanht (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix A
 clangb (l)  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 band matrix A, with kl subdiagonals and ku superdiagonals
 clange (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex matrix A
 clangt (l)  returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex tridiagonal matrix A
 clansb (l)  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 symmetric band matrix A, with k superdiagonals