Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Triet
Posts:
3
Registered:
12/29/12


Re: Rank of root
Posted:
Dec 29, 2012 1:32 PM


"Roger Stafford" wrote in message <kbnarq$302$1@newscl01ah.mathworks.com>... > "Triet" wrote in message <kbm7qf$bn2$1@newscl01ah.mathworks.com>... > > I know Matlab has "factor" to factor an equation, but is there any function or any way to do this in Matlab: > > Input: an equation ex: x^3 8*x^2 + 20*x 16 > > Output: > > +the equation factored, ex: (x  4)*(x  2)^2 > > +Solve the equation, ex: x1=4; x2=2 > > +Most important: show the rank of each root (the power of each inner expression) , ex: root 1 = 4 has rank = 1; root 2 = 2 has rank = 2 >          > Besides the symbolic 'factor' there is the numeric 'roots' function from which you can obtain the above information by comparing the polynomial's roots. For a polynomial with real coefficients a pair of roots which are complex conjugates of one another will give you a quadratic factor. Note that roots which are equal may suffer slightly differing roundoff errors so your comparisons should have a tolerance for small differences. > > Roger Stafford
Thank you. That helped me very much.



