MatrixPseudoInverse
This block outputs the inverse of a non square input matrix using the SVD (Singular Value Decomposition) operation. When the input is an M-by-N matrix, the output is an N-by-M matrix.
Library
Activate/MatrixOperations
Description
The MatrixPseudoInverse block outputs the inverse of a non square input matrix using the SVD (Singular Value Decomposition) operation.
The input matrix can be either of type Double or type Complex.
When the input is an M-by-N matrix, the output is an N-by-M matrix.
If the SVD of A is: A=USV' then the pseudoinverse X of A is given by: X=VS"U'
where S"(i,j)=1/S(i,j) (if S(i,j) =0), U' and V are respectively the transpose of U and V'.
and we have A*X*A=A and X*A*X=X. Both A*X and X*A are Hermitian matrices.
A warning message is printed if the input is badly scaled or nearly singular.
Parameters
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
tolerance | Tolerance | Tolerance of the computation. | Scalar | |
externalActivation | External activation | Specifies whether the block receives an external activation or inherits its activation through its regular input ports. When External Activation is selected, an additional activation port is added to the block. By default, external activation is not selected. | Number | 0 |
Ports
| Name | Type | Description | IO Type | Number |
|---|---|---|---|---|
Port 1 | explicit | output | 1 | |
Port 2 | explicit | input | 1 | |
Port 3 | activation | input | externalActivation |
Advanced Properties
| Name | Value | Description |
|---|---|---|
always active | no | |
direct-feedthrough | yes | |
zero-crossing | no | |
mode | no | |
continuous-time state | no | |
discrete-time state | no |