zlanhp (l)  Linux Man Pages
zlanhp: 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
Command to display zlanhp
manual in Linux: $ man l zlanhp
NAME
ZLANHP  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
SYNOPSIS
 DOUBLE PRECISION

FUNCTION ZLANHP( NORM, UPLO, N, AP, WORK )

CHARACTER
NORM, UPLO

INTEGER
N

DOUBLE
PRECISION WORK( * )

COMPLEX*16
AP( * )
PURPOSE
ZLANHP 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.
DESCRIPTION
ZLANHP returns the value
ZLANHP
= ( 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 ZLANHP as described
above.
 UPLO (input) CHARACTER*1

Specifies whether the upper or lower triangular part of the
hermitian matrix A is supplied.
= aqUaq: Upper triangular part of A is supplied
= aqLaq: Lower triangular part of A is supplied
 N (input) INTEGER

The order of the matrix A. N >= 0. When N = 0, ZLANHP is
set to zero.
 AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)

The upper or lower triangle of the hermitian matrix A, packed
columnwise in a linear array. The jth column of A is stored
in the array AP as follows:
if UPLO = aqUaq, AP(i + (j1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = aqLaq, AP(i + (j1)*(2nj)/2) = A(i,j) for j<=i<=n.
Note that the imaginary parts of the diagonal elements need
not be set and are assumed to be zero.
 WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),

where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise,
WORK is not referenced.
Pages related to zlanhp
 zlanhp (3)
 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 superdiagonals
 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
 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
 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 subdiagonals and ku superdiagonals
 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
 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 superdiagonals