MATEXPM

Block Screenshot

Contents

• Matrix Exponential

• • Palette

  • Description

  • Dialog box

  • Example

  • Default properties

  • Interfacing function

  • Computational function

  • See also

Palette

• Matrix operation palette

Description

The MATEXPM outputs the matrix exponential of a square matrix input computed by the Padé'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 xcos 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/modules/scicos_blocks/macros/MatrixOp/MATEXPM.sci

Computational function

• SCI/modules/scicos_blocks/src/c/mat_expm.c

• SCI/modules/scicos_blocks/src/c/matz_expm.c

Matrix Exponential example: expm([0 sin(t) ; sqrt(t) 0])

See also

• MATMUL - Matrix Multiplication (xcos Block)

• expm (Scilab function)