zlantp (l) - Linux Manuals
zlantp: 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
Command to display zlantp manual in Linux: $ man l zlantp
NAME
ZLANTP - 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
SYNOPSIS
- DOUBLE PRECISION
-
FUNCTION ZLANTP( NORM, UPLO, DIAG, N, AP, WORK )
-
CHARACTER
DIAG, NORM, UPLO
-
INTEGER
N
-
DOUBLE
PRECISION WORK( * )
-
COMPLEX*16
AP( * )
PURPOSE
ZLANTP 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
ZLANTP returns the value
ZLANTP
= ( 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 ZLANTP as described
above.
- UPLO (input) CHARACTER*1
-
Specifies whether the matrix A is upper or lower triangular.
= aqUaq: Upper triangular
= aqLaq: Lower triangular
- DIAG (input) CHARACTER*1
-
Specifies whether or not the matrix A is unit triangular.
= aqNaq: Non-unit triangular
= aqUaq: Unit triangular
- N (input) INTEGER
-
The order of the matrix A. N >= 0. When N = 0, ZLANTP is
set to zero.
- AP (input) COMPLEX*16 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 = aqUaq, AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = aqLaq, AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
Note that when DIAG = aqUaq, 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) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
-
where LWORK >= N when NORM = aqIaq; otherwise, WORK is not
referenced.
Pages related to zlantp
- zlantp (3)
- zlantb (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 triangular band matrix A, with ( k + 1 ) diagonals
- zlantr (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 trapezoidal or triangular matrix A
- 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
- zlangt (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
- 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