Contents

# ?lanhe

Returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix.

## Syntax

Include Files
• mkl.h
Description
The function
?lanhe
returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix
A
.
Input Parameters
A
<datatype>
placeholder, if present, is used for the C interface data types in the C interface section above. See C Interface Conventions for the C interface principal conventions and type definitions.
norm
Specifies the value to be returned by the routine:
=
'M'
or
'm':
val
=
max
(
abs
(
A
i
j
)), largest absolute value of the matrix
A
.
=
'1'
or
'O'
or
'o':
val
=
norm1
(
A
), 1-norm of the matrix
A
(maximum column sum),
=
'I'
or
'i':
val
=
normI
(
A
), infinity norm of the matrix
A
(maximum row sum),
=
'F'
,
'f'
,
'E'
or
'e':
val
=
normF
(
A
), Frobenius norm of the matrix
A
(square root of sum of squares).
uplo
Specifies whether the upper or lower triangular part of the Hermitian matrix
A
is to be referenced.
=
'U'
: Upper triangular part of
A
is referenced.
=
'L'
: Lower triangular part of
A
is referenced
n
The order of the matrix
A
.
n
0
. When
n
= 0
,
?lanhe
is set to zero.
a
Array, size
at least max(1,
lda
*
n
)
. The Hermitian matrix
A
.
If
uplo
=
'U'
, 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
=
'L'
, 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
The leading dimension of the array
a
.
lda
max(
n
,1)
.

#### Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.