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.TH horner 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
horner - polynomial/rational evaluation
.SH CALLING SEQUENCE
.nf
horner(P,x)
.fi
.SH PARAMETERS
.TP
P
: polynomial or rational matrix
.TP
x
: real number or polynomial or rational
.SH DESCRIPTION
evaluates the polynomial or rational
matrix \fVP = P(s)\fR when the variable \fVs\fR of the
polynomial is replaced by \fVx\fR:
.LP
\fVhorner(P,x)\fR=\fVP(x)\fR
.LP
Example (Bilinear transform): Assume \fVP = P(s)\fR is
a rational matrix then the rational matrix
\fVP((1+s)/(1-s))\fR is obtained by \fVhorner(P,(1+s)/(1-s))\fR.
.LP
To evaluate a rational matrix at given frequencies use
preferably the \fVfreq\fR primitive.
.SH EXAMPLES
.nf
s=poly(0,'s');M=[s,1/s];
horner(M,1)
horner(M,%i)
horner(M,1/s)
.fi
.SH SEE ALSO
freq, repfreq, evstr
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