Computes the angle between column spaces of two matrices.
A real vector.
This input accepts a 1D array of double-precision, floating-point numbers or a 2D array of double-precision, floating-point numbers. If this input is a 1D array of double-precision, floating-point numbers, you must wire a 1D array of double-precision, floating point numbers to vector b. This input changes to matrix A when the data type is a 2D array of double-precision, floating-point numbers.
Default: Empty array
A real vector.
This input accepts a 1D array of double-precision, floating-point numbers or a 2D array of double-precision, floating-point numbers. This input changes to matrix B when the data type is a 2D array of double-precision, floating-point numbers.
The length of vector a or the number of rows in matrix A must equal the length of vector b or the number of rows in matrix B. Otherwise, the node returns NaN as the output angle and returns an error.
A real matrix.
This input accepts a 1D array of double-precision, floating-point numbers or a 2D array of double-precision, floating-point numbers. This input changes to vector a when the data type is a 1D array of double-precision, floating-point numbers.
A real matrix.
This input accepts a 1D array of double-precision, floating-point numbers or a 2D array of double-precision, floating-point numbers. This input changes to vector b when the data type is a 1D array of double-precision, floating-point numbers.
The length of vector a or the number of rows in matrix A must equal the length of vector b or the number of rows in matrix B. Otherwise, the node returns NaN as the output angle and returns an error.
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
Angle, in radians, between the column subspaces of the inputs.
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.
Let U 1 S 1 V 1 T and U 2 S 2 V 2 T be the singular value decomposition of matrix A and matrix B, respectively. The following equation defines the angle between the Euclidean subspaces that span the columns of matrix A and matrix B.
where s is the minimum singular value of U 1 T U 2.
For inputs vector a and vector b, the previous equation equals the following equation.
where a is the input vector a and b is the input vector b, and the norm symbols (||.||) compute the 2-norm of the input vectors.
Where This Node Can Run:
Desktop OS: Windows
FPGA: Not supported
Web Server: Not supported in VIs that run in a web application