MATEIG
Matrix Eigenvalues
Block Screenshot
![](/docs/2023.0.0/ja_JP/MATEIG.png)
Contents
Description
The MATEIG block computes the eigenvalues and the eigenvectors of a square input matrix U. When the decomposition type is set to:
1, the block outputs the eigenvalues in a vector form, if the input is a MxM matrix the output is a Mx1 vector.
2, the block outputs two matrices. For an MxM input matrix, the first output is a MxM diagonal matrix composed by the eigenvalues, and the second is a MxM matrix where columns are the eigenvectors.
The equivalent of the MATEIG block in Scilab is spec
Parameters
![](/docs/2023.0.0/ja_JP/MATEIG_gui.gif)
Datatype(1=real double 2=Complex)
It indicates the type of the output. It support only the two types double (1) and complex (2). If we input another entry in this label xcos will print the message "Datatype is not supported".
Properties : Type 'vec' of size 1.
decomposition type (1=eig values 2=eig values+eig vectors
To select the form of the output.
Properties : Type 'vec' of size 1.
Default properties
always active: no
direct-feedthrough: yes
zero-crossing: no
mode: no
regular inputs:
- port 1 : size [-1,-1] / type 1
regular outputs:
- port 1 : size [-1,1] / type 2
number/sizes of activation inputs: 0
number/sizes of activation outputs: 0
continuous-time state: no
discrete-time state: no
object discrete-time state: no
name of computational function: mat_vps
Example
A = [1 12 32 ; 21 35 46 ; 70 8 19] When the "Decomposition type" is set to one the output is y = [-35.649 ; 14.279 ; 76.369] When the "Decomposition type" is set to two the outputs are: y1 = [-35.649 0.000 0.000 ; 0.000 14.279 0.000 ; 0.000 0.000 76.369] y2 = [0.557 0.080 0.349 ; 0.330 -0.922 0.770 ; -0.762 0.379 0.533]
Eigenvalues example: spec([sin(t) 0; 0 t]) = [sin(t); t]
![](/docs/2023.0.0/ja_JP/MATEIG_Example.zcos.png)
Interfacing function
SCI/modules/scicos_blocks/macros/MatrixOp/MATEIG.sci
Computational function
- SCI/modules/scicos_blocks/src/c/mat_vps.c
- SCI/modules/scicos_blocks/src/c/mat_vpv.c
- SCI/modules/scicos_blocks/src/c/matz_vps.c
- SCI/modules/scicos_blocks/src/c/matz_vpv.c
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