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Re: normalized ALF (Assotiated Legendre Function)
From: |
Marco Caliari |
Subject: |
Re: normalized ALF (Assotiated Legendre Function) |
Date: |
Tue, 12 Feb 2008 16:02:23 +0100 (CET) |
Hi.
The normalized Lagrange functions should (almost) never give NaNs of Infs.
The enclosed script fixes a problem in the previous:
octave:1> legendreold(151,-0.9,"norm")(end-1:end)
ans =
-3.3248e-53
Inf
octave:2> legendre(151,-0.9,"norm")(end-1:end)
ans =
-3.3248e-53
9.2660e-55
Marco
"The following functions compute the associated Legendre Polynomials
P_l^m(x). Note that this function grows combinatorially with l and can
overflow for l larger than about 150. There is no trouble for small m, but
overflow occurs when m and l are both large. Rather than allow overflows,
these functions refuse to calculate P_l^m(x) and return GSL_EOVRFLW when they
can sense that l and m are too big."
legendre.m
Description: Text document
- normalized ALF (Assotiated Legendre Function), kruvalig, 2008/02/04
- Re: normalized ALF (Assotiated Legendre Function), kruvalig, 2008/02/11
- Re: normalized ALF (Assotiated Legendre Function), Marco Caliari, 2008/02/11
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/11
- Re: normalized ALF (Assotiated Legendre Function), Dmitri A. Sergatskov, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function), Marco Caliari, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function),
Marco Caliari <=
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/12
- Re: normalized ALF (Assotiated Legendre Function), Marco Caliari, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Marco Caliari, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Marco Caliari, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/13
- Re: normalized ALF (Assotiated Legendre Function), Ben Abbott, 2008/02/13