simp

simp — rational simplification

Calling sequence

[N1,D1]=simp(N,D)  
H1=simp(H)  

Parameters

N,D : real polynomials or real matrix polynomials
H : rational matrix (i.e matrix with entries n/d ,n and d real polynomials)

Description

[n1,d1]=simp(n,d) calculates two polynomials n1 and d1 such that n1/d1 = n/d.

If N and D are polynomial matrices the calculation is performed element-wise.

H1=simp(H) is also valid (each entry of H is simplified in H1).

Caution:

-no threshold is given i.e. simp cannot forces a simplification.

-For linear dynamic systems which include integrator(s) simplification changes the static gain. (H(0) for continuous systems or H(1) for discrete systems)

-for complex data, simp returns its input(s).

-rational simplification is called after nearly each operations on rationals. It is possible to toggle simplification on or off using simp_mode function.

Examples



s=poly(0,'s');
[n,d]=simp((s+1)*(s+2),(s+1)*(s-2))

simp_mode(%F);hns=s/s
simp_mode(%T);hns=s/s

 
  

See also

roots, trfmod, poly, clean, simp_mode