zlansb (l)  Linux Manuals
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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 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
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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
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 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