clansy (l) - Linux Manuals
clansy: 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
Command to display clansy manual in Linux: $ man l clansy
NAME
CLANSY - 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
SYNOPSIS
- REAL FUNCTION
-
CLANSY( NORM, UPLO, N, A, LDA, WORK )
-
CHARACTER
NORM, UPLO
-
INTEGER
LDA, N
-
REAL
WORK( * )
-
COMPLEX
A( LDA, * )
PURPOSE
CLANSY 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.
DESCRIPTION
CLANSY returns the value
CLANSY
= ( 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 CLANSY as described
above.
- UPLO (input) CHARACTER*1
-
Specifies whether the upper or lower triangular part of the
symmetric matrix A is to be referenced.
= aqUaq: Upper triangular part of A is referenced
= aqLaq: Lower triangular part of A is referenced
- N (input) INTEGER
-
The order of the matrix A. N >= 0. When N = 0, CLANSY is
set to zero.
- A (input) COMPLEX array, dimension (LDA,N)
-
The symmetric matrix A. If UPLO = aqUaq, the leading n by n
upper triangular part of A contains the upper triangular part
of the matrix A, and the strictly lower triangular part of A
is not referenced. If UPLO = aqLaq, the leading n by n lower
triangular part of A contains the lower triangular part of
the matrix A, and the strictly upper triangular part of A is
not referenced.
- LDA (input) INTEGER
-
The leading dimension of the array A. LDA >= max(N,1).
- WORK (workspace) REAL array, dimension (MAX(1,LWORK)),
-
where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise,
WORK is not referenced.
Pages related to clansy
- clansy (3)
- clansb (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 super-diagonals
- clansp (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, supplied in packed form
- clangb (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 sub-diagonals and ku super-diagonals
- clange (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
- clangt (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
- clanhb (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 super-diagonals
- clanhe (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
- clanhf (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
- clanhp (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