Function

# cblas_zhbmv(_:_:_:_:_:_:_:_:_:_:_:_:)

Scales a Hermitian band matrix, then multiplies by a vector, then adds a vector (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'`.

`N`

The order of matrix `A`.

`K`

Half-bandwidth of matrix `A`.

`alpha`

Scaling value to multiply matrix A by.

`A`

Matrix `A`.

`lda`

The leading dimension of array containing matrix `A`.

`X`

Vector `X`.

`incX`

Stride within `X`. For example, if `incX` is 7, every 7th element is used.

`beta`

Scaling factor that vector `Y` is multiplied by.

`Y`

Vector `Y`. Replaced by results on return.

`incY`

Stride within `Y`. For example, if `incY` is 7, every 7th element is used.

## Discussion

Computes `alpha*A*x + beta*y` and returns the results in vector `Y`.

### 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).