LUFactorization
This block outputs two matrices L and U, with row pivoting, from the LU factorization of a square input matrix. If A is the input matrix then E*A=L*U where E is a permutation matrix.
Library
MatrixOperations
Description
The LU block performs the LU factorization of a matrix A. The matrix A must be a square matrix. The output is two matrices L and U, with row pivoting.
The factorization is such that E*A=L*U where A is the input square matrix, E is the permutation matrix, U an upper triangular matrix and L a lower triangular matrix.
Parameters
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
plu | Provide the permutation matrix | If this paramater is turned ON, the block has one additional output port to provide the permutation matrix. | Number | 0 |
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 | Input Matrix A (matrix to be factorized) | input | 1 |
L | explicit | output | 1 | |
U | explicit | output | 2 | |
Port 4 | explicit | output | plu | |
Port 5 | activation | External 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 |