horner

Scilab Function
Last update : April 1993

horner - polynomial/rational evaluation

### Calling Sequence

  `horner(P,x)`

### Parameters

- `P`: polynomial or rational matrix
- `x`: real number or polynomial or rational

### Description

evaluates the polynomial or rational matrix `P = P(s)` when the variable `s` of the polynomial is replaced by `x`:

`horner(P,x)`=`P(x)`

Example (Bilinear transform): Assume `P = P(s)` is a rational matrix then the rational matrix `P((1+s)/(1-s))` is obtained by `horner(P,(1+s)/(1-s))`.

To evaluate a rational matrix at given frequencies use preferably the `freq` primitive.

### Examples

    s=poly(0,'s');M=[s,1/s];
    horner(M,1)
    horner(M,%i)
    horner(M,1/s)

### See Also

`freq`, `repfreq`, `evstr`,