MathGroup Archive 2000

[Date Index] [Thread Index] [Author Index]

Search the Archive

Real roots of polynomials

  • To: mathgroup at
  • Subject: [mg24688] Real roots of polynomials
  • From: Jack Goldberg <jackgold at>
  • Date: Fri, 4 Aug 2000 01:19:10 -0400 (EDT)
  • Sender: owner-wri-mathgroup at


Suppose  Pn[x]  is a polynomial of degree n in x.  Its coefficients
are real.  

Question:  What is a good way of determining the real roots of Pn
and their multiplicities?

	Use NSolve and "cast out" the complex roots and Chop any 
	roots with a "too" small imaginary part (in case NSolve 
	inserts spurious imaginary parts). 
In cases where  n  is large and the number of real roots is small 
compared to  n, one can imagine that better methods exist.  I have 
searched MathSource with no real (pun intended) progress.  Possibly 
this is more a math question than a Mathematica question. 

Help is appreciated.


  • Prev by Date: Re: running mathematica remotely
  • Next by Date: Re: Can I solve PDE in Mathematica?
  • Previous by thread: Re: Simple Query
  • Next by thread: Re: Real roots of polynomials