Function

# cblas_zher2k(_:_:_:_:_:_:_:_:_:_:_:_:_:)

Performs a rank-2k update of a complex Hermitian matrix (double-precision complex).

## Parameters

`Order`

Specifies row-major (C) or column-major (Fortran) data ordering.

`Uplo`

Specifies whether to use the upper or lower triangle from the matrix. Valid values are `'U'` or `'L'`.

`Trans`

Specifies whether to use matrix A (`'N'` or `'n'`), the transpose of A (`'T'` or `'t'`), or the conjugate of A (`'C'` or `'c'`).

`N`

Order of matrix `C`.

`K`

Specifies the number of columns in matrices `A` and `B` if `trans='N'`.

Specifies the number of rows if `trans='C'` or `trans='T'`).

`alpha`

Scaling factor for matrix `A`.

`A`

Matrix `A`.

`lda`

Leading dimension of array containing matrix `A`.

`B`

Matrix `B`.

`ldb`

Leading dimension of array containing matrix `B`.

`beta`

Scaling factor for matrix `C`.

`C`

Matrix `C`.

`ldc`

Leading dimension of array containing matrix `C`.

## Discussion

Computes `alpha*A*BH + alpha*B*AH +beta*C`

### Double-Precision Complex Matrix Functions

`func cblas_dzasum(Int32, UnsafeRawPointer!, Int32) -> Double`

Computes the sum of the absolute values of real and imaginary parts of elements in a vector (single-precision complex).

`func cblas_dznrm2(Int32, UnsafeRawPointer!, Int32) -> Double`

Computes the unitary norm of a vector (double-precision complex).

`func cblas_zdscal(Int32, Double, UnsafeMutableRawPointer!, Int32)`

Multiplies each element of a vector by a constant (double-precision complex).

`func cblas_zher(CBLAS_ORDER, CBLAS_UPLO, Int32, Double, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)`

Adds the product of a scaling factor, vector `X`, and the conjugate transpose of `X` to matrix `A`.

`func cblas_zher2(CBLAS_ORDER, CBLAS_UPLO, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)`

Hermitian rank 2 update: adds the product of a scaling factor, vector `X`, and the conjugate transpose of vector `Y` to the product of the conjugate of the scaling factor, vector `Y`, and the conjugate transpose of vector `X`, and adds the result to matrix `A`.

`func cblas_zhpr(CBLAS_ORDER, CBLAS_UPLO, Int32, Double, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!)`

Scales and multiplies a vector times its conjugate transpose, then adds a matrix.

`func cblas_zhpr2(CBLAS_ORDER, CBLAS_UPLO, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!)`

Multiplies a vector times the conjugate transpose of a second vector and vice-versa, sums the results, and adds a matrix.

`func cblas_zscal(Int32, UnsafeRawPointer!, UnsafeMutableRawPointer!, Int32)`

Multiplies each element of a vector by a constant (double-precision complex).