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Справка Scilab >> Polynomials > simp


rational simplification


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


N, D

real polynomials or real matrix polynomials


rational matrix (i.e matrix with entries n/d ,n and d real polynomials)


[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).

  • 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.


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

  • simp_mode — toggle rational simplification
  • clean — очищает матрицы (округление малых значений до нуля)
  • roots — roots of a polynomial
  • trfmod — отображение полюсов и нулей
  • poly — Определение полинома через указанные корни или коэффициенты или определение характеристического полинома квадратной матрицы.
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Last updated:
Mon Jan 03 14:39:55 CET 2022