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MATEXPM

Matrix Exponential

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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.

Parameters

  • 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.

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

Examples

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]

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

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

See also

  • MATMUL — Matrix Multiplication
  • expm — 正方行列の指数関数
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Last updated:
Mon Nov 07 15:06:07 CET 2022