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

FUNCTION ZLANHE( NORM, UPLO, N, A, LDA, WORK )

CHARACTER
NORM, UPLO

INTEGER
LDA, N

DOUBLE
PRECISION WORK( * )

COMPLEX*16
A( LDA, * )
PURPOSE
ZLANHE 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.
DESCRIPTION
ZLANHE returns the value
ZLANHE
= ( 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 ZLANHE as described
above.
 UPLO (input) CHARACTER*1

Specifies whether the upper or lower triangular part of the
hermitian 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, ZLANHE is
set to zero.
 A (input) COMPLEX*16 array, dimension (LDA,N)

The hermitian 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. Note that the imaginary parts of the diagonal
elements need not be set and are assumed to be zero.
 LDA (input) INTEGER

The leading dimension of the array A. LDA >= max(N,1).
 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 zlanhe
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 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