naginterfaces.library.blas.zher

naginterfaces.library.blas.zher(uplo, alpha, x, a)[source]

zher computes the rank-1 update of a complex Hermitian matrix.

For full information please refer to the NAG Library document for f06sp

https://www.nag.com/numeric/nl/nagdoc_28.7/flhtml/f06/f06spf.html

Parameters
uplostr, length 1

Specifies whether the upper or lower triangular part of is stored.

The upper triangular part of is stored.

The lower triangular part of is stored.

alphafloat

The scalar .

xcomplex, array-like, shape

The -element vector .

acomplex, array-like, shape

The Hermitian matrix .

Returns
acomplex, ndarray, shape

The updated matrix . The imaginary parts of the diagonal elements are set to zero.

Raises
NagValueError
(errno )

On entry, error in parameter .

Constraint: or .

(errno )

On entry, error in parameter .

Constraint: .

(errno )

On entry, error in parameter .

Constraint: .

Notes

In the NAG Library the traditional C interface for this routine uses a different algorithmic base. Please contact NAG if you have any questions about compatibility.

zher performs the Hermitian rank-1 update operation

where is an complex Hermitian matrix, is an -element complex vector, and is a real scalar.