simp

rational simplification

Calling Sequence

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

Arguments

: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 roots of polynomials
• trfmod poles and zeros display
• poly polynomial definition
• clean cleans matrices (round to zero small entries)
• simp_mode toggle rational simplification