Scicos Block
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##
MATEXPM Matrix Exponential

### Contents

- MATEXPM Matrix Exponential
  - Palette
  - Description
  - Dialog box
  - Example
  - Default properties
  - Interfacing function
  - Computational function
  - See also
  - Authors

### Palette

- Matrix - Matrix operation palette

### Description

The MATEXPM outputs the matrix exponential of a square matrix input by the pade's approximants. The output is a square matrix with the same size of the input. The equivalent of this block in Scilab is "expm".

### Dialog box

- 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 Scicos will print the message "Datatype is not supported".
  Properties : Type 'vec' of size 1.

### Example

    u=[1 2 3;2 3 1;4 2 1]
    y=[182.612 196.518 141.735;172.973 190.770 133.577;204.677 220.063 159.067]

### 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 1
- 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_expm

### Interfacing function

- SCI/macros/scicos_blocks/MatrixOp/MATEXPM.sci [view code]

### Computational function

- SCI/routines/scicos/mat_expm.c [view code]
- SCI/routines/scicos/matz_expm.c [view code]

### See also

- MATMUL - MATMUL Matrix Multiplication (Scicos Block)

### Authors

Fady NASSIF INRIA