Performs the Hessenberg decomposition of a matrix.
An n x n real matrix.
This input accepts a 2D array of double-precision, floating point numbers or 2D array of complex double-precision, floating point numbers.
The form of the balanced matrix.
You can obtain this input from the Matrix Balance node. If you do not wire this input, this node sets index low to 0.
Default: -1
The form of the balanced matrix.
You can obtain this input from the Matrix Balance node. If you do not wire this input, this node sets index low to n - 1.
Default: -1
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.
Default: No error
An n x n matrix in Hessenberg form.
An n x n orthogonal matrix.
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.
The following expression defines the Hessenberg decomposition of an n × n matrix A:
A = QHQ^{H}
where
By definition, a Hessenberg matrix is a matrix with zeros under the main subdiagonal, as shown by the following matrix.
Where This Node Can Run:
Desktop OS: Windows
FPGA: This product does not support FPGA devices