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Student Support Forum: 'Roots of n-order Jacobi Polynomial' topicStudent Support Forum > General > "Roots of n-order Jacobi Polynomial"

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Tau, S.N.
07/25/06 05:55am

Hello,

I'm trying to find the roots of Jacobi Polynomials using Roots[[JacobiP[n, α, β, x] == 0, x] (the roots are the abscissas for an n-point Jacobi-Gauss Quad rule). With n = 30, α = 10 and β = -0.95, I find that most of the roots are complex numbers and not real as I expected (correct me if I'm wrong to expect/assume that the roots of an n-order orthogonal polynomial such as a Jacobi polynomial are all real).

Using a MATLAB script that I found on the web, all the roots are real numbers for the same parameter values (n, α & β). Can anyone with experience in these issues provide an insight into the problem and a way to solve it if it is indeed a problem?

I'd really appreciate your input. Thank you in advance.


Cheers,
Tau, S.N.

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Subject (listing for 'Roots of n-order Jacobi Polynomial')
Author Date Posted
Roots of n-order Jacobi Polynomial Tau, S.N. 07/25/06 05:55am
Re: Roots of n-order Jacobi Polynomial Peter Pein 07/25/06 1:36pm
Re: Roots of n-order Jacobi Polynomial yehuda ben-s... 07/26/06 00:46am
Re: Roots of n-order Jacobi Polynomial Robert Paynter 05/28/09 09:48am
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