zlangt (l) - Linux Manuals
zlangt: 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
Command to display zlangt manual in Linux: $ man l zlangt
NAME
ZLANGT - 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
SYNOPSIS
- DOUBLE PRECISION
-
FUNCTION ZLANGT( NORM, N, DL, D, DU )
-
CHARACTER
NORM
-
INTEGER
N
-
COMPLEX*16
D( * ), DL( * ), DU( * )
PURPOSE
ZLANGT 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.
DESCRIPTION
ZLANGT returns the value
ZLANGT
= ( 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 ZLANGT as described
above.
- N (input) INTEGER
-
The order of the matrix A. N >= 0. When N = 0, ZLANGT is
set to zero.
- DL (input) COMPLEX*16 array, dimension (N-1)
-
The (n-1) sub-diagonal elements of A.
- D (input) COMPLEX*16 array, dimension (N)
-
The diagonal elements of A.
- DU (input) COMPLEX*16 array, dimension (N-1)
-
The (n-1) super-diagonal elements of A.
Pages related to zlangt
- zlangt (3)
- 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 sub-diagonals and ku super-diagonals
- 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
- 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 super-diagonals
- 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
- zlanhs (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 Hessenberg matrix A
- zlanht (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 tridiagonal matrix A
- 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 super-diagonals