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Re: PSLQ

• To: mathgroup at smc.vnet.net
• Subject: [mg80812] Re: PSLQ
• From: David Bailey <dave at Remove_Thisdbailey.co.uk>
• Date: Sun, 2 Sep 2007 02:59:37 -0400 (EDT)
• References: <fbaqv8$qf8$1@smc.twtelecom.net>

Clashton at gmail.com wrote:
> I am trying to use Peter Bertok's PSLQ algorithm at
> 
> http://library.wolfram.com/infocenter/MathSource/4263/
> 
> to check for linear relations between logarithms, but it is not
> working properly.
> 
> If I do
> 
> PSLQ[N[{Log[3/2], -Log[2], -Log[4/3]}, 200], 200]
> 
> , the program correctly outputs
> {1, 1, -1}.
> 
> However, if I try
> 
> PSLQ[N[{Log[3/2], -Log[5], -Log[4/3]}, 200], 200]
> 
> , instead of outputting a set of three large integers which would give
> a linear relation equalling zero correct to 10^(-200)
> (which I could interpret to mean there was no true linear
> relationship, because of the size of the integers),
> it outputs a string of error messages.
> 
> Can anyone tell me how to tweak this program to eliminate these
> errors?
> 
> Failing that, is there another Mathematica implementation of PSLQ
> which would do the same thing?
> 
> I have searched the archive and there was a link to a Mathematica
> program by David Bailey, but the link no longer works.
> 
> Thanks for any help with this,
> 
> Jimmy Mc Laughlin
> 
> PS Please reply also to my e-mail address
> Clashton at gmail.com
> 
> 
The "David Bailey" that you need is David H Bailey (not me)!

http://crd.lbl.gov/~dhbailey/

David Bailey
http://www.dbaileyconsultancy.co.uk