Visible to Intel only — GUID: GUID-28C7A5F7-A4F3-40CA-9E42-BCA3302209CB
Visible to Intel only — GUID: GUID-28C7A5F7-A4F3-40CA-9E42-BCA3302209CB
?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
val = clanhe( norm, uplo, n, a, lda, work )
val = zlanhe( norm, uplo, n, a, lda, work )
Include Files
- mkl.fi
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
The data types are given for the Fortran interface.
- norm
-
CHARACTER*1. Specifies the value to be returned by the routine:
= 'M' or 'm': val = max(abs(Aij)), 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
-
CHARACTER*1.
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
-
INTEGER. The order of the matrix A. n≥ 0. When n = 0, ?lanhe is set to zero.
- a
-
COMPLEX for clanhe.
DOUBLE COMPLEX for zlanhe.
Array, size (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
-
INTEGER. The leading dimension of the array a.
lda≥ max(n,1).
- work
-
REAL for clanhe.
DOUBLE PRECISION for zlanhe.
Workspace array, DIMENSION(max(1,lwork)), where
lwork≥n when norm = 'I' or '1' or 'O'; otherwise, work is not referenced.
Output Parameters
- val
-
REAL for clanhe.
DOUBLE PRECISION for zlanhe.
Value returned by the function.