File: bezout.man

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.TH bezout 8 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an 
.SH NAME
bezout - Bezout equation for polynomials
.SH CALLING SEQUENCE
.nf
[thegcd,U]=bezout(p1,p2) 
.fi
.SH PARAMETERS
.TP 10 
p1, p2
: two real polynomials
.SH DESCRIPTION
.Vb [thegcd,U]=bezout(p1,p2)
computes GCD \fVthegcd\fR of \fVp1\fR and \fVp2\fR and in addition a (2x2) 
unimodular matrix \fVU\fR such that:
.LP
\fV[p1,p2]*U = [thegcd,0]\fR
.LP
The lcm of \fVp1\fR and \fVp2\fR is given by:
.LP
\fVp1*U(1,2)\fR (or \fV-p2*U(2,2)\fR)
.SH EXAMPLE
.nf
x=poly(0,'x');
p1=(x+1)*(x-3)^5;p2=(x-2)*(x-3)^3;
[thegcd,U]=bezout(p1,p2) 
det(U)
clean([p1,p2]*U)
thelcm=p1*U(1,2)
lcm([p1,p2])
.fi
.SH SEE ALSO 
poly, roots, simp, clean, lcm