NAME
zlansp - return the value of the one norm, or the Frobenius
norm, or the infinity norm, or the element of largest abso-
lute 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( * )
#include <sunperf.h>
double zlansp(char norm, char uplo, int n, doublecomplex
*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 = '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 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. =
'U': Upper triangular part of A is supplied
= 'L': 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 j-th column of A is stored in the array AP as
follows: if UPLO = 'U', AP(i + (j-1)*j/2) =
A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-
1)*(2n-j)/2) = A(i,j) for j<=i<=n.
WORK (workspace) DOUBLE PRECISION array, dimension
(LWORK),
where LWORK >= N when NORM = 'I' or '1' or 'O';
otherwise, WORK is not referenced.
|
Закладки на сайте Проследить за страницей |
Created 1996-2025 by Maxim Chirkov Добавить, Поддержать, Вебмастеру |