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Scilab Help >> Polynomials > ldiv

# ldiv

polynomial matrix long division

### Syntax

`[x]=ldiv(n,d,k)`

### Arguments

n,d

two real polynomial matrices

k

integer

### Description

`x=ldiv(n,d,k)` gives the `k` first coefficients of the long division of `n` by `d` i.e. the Taylor expansion of the rational matrix `[nij(z)/dij(z)]` near infinity.

Coefficients of expansion of `nij/dij` are stored in `x((i-1)*n+k,j) k=1:n`

### Examples

```wss=ssrand(1,1,3);[a,b,c,d]=abcd(wss);
wtf=ss2tf(wss);
x1=ldiv(numer(wtf),denom(wtf),5)
x2=[c*b;c*a*b;c*a^2*b;c*a^3*b;c*a^4*b]
wssbis=markp2ss(x1',5,1,1);
wtfbis=clean(ss2tf(wssbis))
x3=ldiv(numer(wtfbis),denom(wtfbis),5)```

• arl2 — SISO model realization by L2 transfer approximation
• markp2ss — Markov parameters to state-space
• pdiv — polynomial division