zlansb (l)  Linux Man Pages
zlansb: 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
Command to display zlansb
manual in Linux: $ man l zlansb
NAME
ZLANSB  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
SYNOPSIS
 DOUBLE PRECISION

FUNCTION ZLANSB( NORM, UPLO, N, K, AB, LDAB,
WORK )

CHARACTER
NORM, UPLO

INTEGER
K, LDAB, N

DOUBLE
PRECISION WORK( * )

COMPLEX*16
AB( LDAB, * )
PURPOSE
ZLANSB 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.
DESCRIPTION
ZLANSB returns the value
ZLANSB
= ( 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 ZLANSB 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 part is supplied
= aqLaq: Lower triangular part is supplied
 N (input) INTEGER

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

The number of superdiagonals or subdiagonals of the
band matrix A. K >= 0.
 AB (input) COMPLEX*16 array, dimension (LDAB,N)

The upper or lower triangle of the symmetric 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).
 LDAB (input) INTEGER

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

where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise,
WORK is not referenced.
Pages related to zlansb
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 zlansy (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 symmetric matrix A
 zlangb (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
 zlange (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
 zlangt (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
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 zlanhe (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
 zlanhf (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
 zlanhp (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