
DLANSP(l) ) DLANSP(l)
NAME
DLANSP  return the value of the one norm, or the Frobenius norm, or the infinity norm, or
the element of largest absolute value of a real symmetric matrix A, supplied in packed
form
SYNOPSIS
DOUBLE PRECISION FUNCTION DLANSP( NORM, UPLO, N, AP, WORK )
CHARACTER NORM, UPLO
INTEGER N
DOUBLE PRECISION AP( * ), WORK( * )
PURPOSE
DLANSP returns the value of the one norm, or the Frobenius norm, or the infinity norm, or
the element of largest absolute value of a real symmetric matrix A, supplied in packed
form.
DESCRIPTION
DLANSP returns the value
DLANSP = ( 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 DLANSP 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, DLANSP is set to zero.
AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)
The upper or lower triangle of the symmetric matrix A, packed columnwise in a lin
ear array. The jth column of A is stored in the array AP as follows: if UPLO =
'U', AP(i + (j1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j1)*(2nj)/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.
LAPACK version 3.0 15 June 2000 DLANSP(l) 
