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Topic: Finding Lobatto Points
Replies: 1   Last Post: Dec 5, 1996 9:30 PM

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Jake Kesinger

Posts: 40
Registered: 12/7/04
Re: Finding Lobatto Points
Posted: Dec 5, 1996 9:30 PM
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Pierre Asselin (lpa@netcom.com) wrote:
: kesinger@math.ttu.edu (Jake Kesinger) writes:
: ?? Everything is there. What's the problem? Are you looking for
: *proofs* of your assertions (1-5)? You could look at Szego's book,
: "Orthogonal Polynomials" (1975).
That's more or less it. I know this method works, but I have
been unable to prove why.
: Chapter 22 of Abramowitz and Stegun has asymptotic formulas for the
: zeros of orthogonal polynomials that could be used as starting points
: for Newton's method. (The P'_n are Jacobi polynomials, I believe.)
: Still, that's playing with fire.

Thanks, I'll look this up.

--
--Jake _ Jake Kesinger (kesinger@math.ttu.edu), Outrageous Liar
LUBBOCK -> _|*~- http://www.math.ttu.edu/~kesinger/
\, _} ``Although we have no quarrel with you, we *are* Samurai and
\( *will* give you what for.'' Miaowara Shimura. (Mark Rogers)





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