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.TH ldiv 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
ldiv - polynomial matrix long division
.SH CALLING SEQUENCE
.nf
[x]=ldiv(n,d,k)
.fi
.SH PARAMETERS
.TP
n,d
: two real polynomial matrices
.TP
k
: integer
.SH DESCRIPTION
\fVx=ldiv(n,d,k)\fR gives the \fVk\fR first coefficients of the long
division of \fVn\fR by \fVd\fR i.e. the Taylor expansion of the rational
matrix \fV[nij(z)/dij(z)]\fR near infinity.
.LP
Coefficients of expansion of \fVnij/dij\fR are stored in
\fVx((i-1)*n+k,j) k=1:n\fR
.SH EXAMPLE
.nf
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)
.fi
.SH SEE ALSO
arl2, markp2ss, pdiv
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