CLANTP(1) LAPACK auxiliary routine (version 3.2) CLANTP(1)NAME
CLANTP - returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a trian‐
gular matrix A, supplied in packed form
SYNOPSIS
REAL FUNCTION CLANTP( NORM, UPLO, DIAG, N, AP, WORK )
CHARACTER DIAG, NORM, UPLO
INTEGER N
REAL WORK( * )
COMPLEX AP( * )
PURPOSE
CLANTP returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
triangular matrix A, supplied in packed form.
DESCRIPTION
CLANTP returns the value
CLANTP = ( 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 consistent matrix
norm.
ARGUMENTS
NORM (input) CHARACTER*1
Specifies the value to be returned in CLANTP as described
above.
UPLO (input) CHARACTER*1
Specifies whether the matrix A is upper or lower triangular. =
'U': Upper triangular
= 'L': Lower triangular
DIAG (input) CHARACTER*1
Specifies whether or not the matrix A is unit triangular. =
'N': Non-unit triangular
= 'U': Unit triangular
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANTP is set
to zero.
AP (input) COMPLEX array, dimension (N*(N+1)/2)
The upper or lower triangular 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. Note that when DIAG = 'U', the elements of the array
AP corresponding to the diagonal elements of the matrix A are
not referenced, but are assumed to be one.
WORK (workspace) REAL array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = 'I'; otherwise, WORK is not refer‐
enced.
LAPACK auxiliary routine (versioNovember 2008 CLANTP(1)
