zlansp (l)  Linux Man Pages
zlansp: 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, supplied in packed form
Command to display zlansp
manual in Linux: $ man l zlansp
NAME
ZLANSP  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, supplied in packed form
SYNOPSIS
 DOUBLE PRECISION

FUNCTION ZLANSP( NORM, UPLO, N, AP, WORK )

CHARACTER
NORM, UPLO

INTEGER
N

DOUBLE
PRECISION WORK( * )

COMPLEX*16
AP( * )
PURPOSE
ZLANSP 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, supplied in packed form.
DESCRIPTION
ZLANSP returns the value
ZLANSP
= ( 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 ZLANSP as described
above.
 UPLO (input) CHARACTER*1

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

The order of the matrix A. N >= 0. When N = 0, ZLANSP is
set to zero.
 AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)

The upper or lower triangle of the symmetric matrix A, packed
columnwise in a linear array. The jth column of A is stored
in the array AP as follows:
if UPLO = aqUaq, AP(i + (j1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = aqLaq, AP(i + (j1)*(2nj)/2) = A(i,j) for j<=i<=n.
 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 zlansp
 zlansp (3)
 zlansb (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
 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
 zlanhb (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 hermitian band matrix A, with k superdiagonals
 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