# Matrix Update (Hermitian » Rank-2k) (G Dataflow)

Calculates the rank-2k update of the upper or lower triangular component of a Hermitian matrix.

## operation

Operation this node performs on A and B.

Name Value Description
Direct 0 op(A) = A and op(B) = B
Conjugated and Transposed 1 op(A) = conjugate transpose of A and op(B) = conjugate transpose of B
Transposed 2 op(A) = transpose of A and op(B) = transpose of B

Default: Direct

## A

Matrix such that op(A) has dimensions N × K.

## B

Matrix such that op(B) has the same dimensions as op(A).

## C

Hermitian matrix.

C must have dimensions greater than or equal to N × N, where N is the number of rows in op(A). If C is an empty matrix, this node initializes C to be an N × N matrix with all elements set to 0.

## matrix C type

Triangular component of C this node uses for the calculation.

Name Value Description
Lower Triangular 2 This node uses the lower triangular component of C for the calculation.
Upper Triangular 3 This node uses the upper triangular component of C for the calculation.

Default: Upper Triangular

## error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

## alpha

Scalar that scales A * BH and AH * B, where AH and BH represent conjugate transpose of A and B, respectively.

Default: 1+0i

## beta

Scalar that scales C.

Default: 1

## zher2k

Matrix of the same dimensions as C.

For the first N rows and N columns in the triangular component you select in matrix C type, zher2k returns the result of the following equation:

zher2k = alpha * op(A) * op(B) H + ( $\stackrel{¯}{\mathrm{alpha}}$) * op(B) * op(A)H + beta * C

where

op(A)H represents the conjugate transpose of op(A)

op(B)H represents the conjugate transpose of op(B)

$\stackrel{¯}{\mathrm{alpha}}$ represents the conjugate of alpha

For any remaining rows and columns, zher2k returns the element in C with the same index.

## error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported

Web Server: Not supported in VIs that run in a web application