# Back Transform Eigenvectors (G Dataflow)

Transforms the eigenvectors of a balanced matrix to those of the original matrix.

##### Programming Patterns

Use the Back Transform Eigenvectors node after balancing a matrix with the Matrix Balance node and computing the eigenvectors of the balanced matrix with the Eigenvalues and Vectors node. Use the outputs of the Matrix Balance node and the Eigenvalues and Vectors node as the inputs of the Back Transform Eigenvectors node.

## job

Type of operation used to balance the matrix.

Name Value Description
Neither Permuted nor Scaled 0 The matrix is neither permuted nor scaled.
Permuted but not Scaled 1 The matrix is permuted but not scaled.
Scaled but not Permuted 2 The matrix is scaled but not permuted.
Both Permuted and Scaled 3 The matrix is permuted and scaled.

Default: Both Permuted and Scaled

## eigenvectors

The eigenvectors of the balanced matrix.

This input accepts a 2D array of double-precision, floating point numbers or 2D array of complex double-precision, floating point numbers.

## index low

The form of the balanced matrix.

Default: 0

## index high

The form of the balanced matrix.

Default: 0

## side

Side of the eigenvectors of the balanced matrix.

Name Value Description
Right Eigenvectors 0 The input eigenvectors are right eigenvectors.
Left Eigenvectors 1 The input eigenvectors are left eigenvectors.

Default: Right Eigenvectors

## 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

## scale

Details about the permutations and/or scaling factors used to balance the original general matrix.

## transformed eigenvectors

Transformed eigenvectors.

## 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