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MathGroup Archive 2007

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Re: PSLQ

  • To: mathgroup at smc.vnet.net
  • Subject: [mg80860] Re: PSLQ
  • From: Clashton at gmail.com
  • Date: Tue, 4 Sep 2007 03:49:24 -0400 (EDT)
  • References: <200709010435.AAA26690@smc.twtelecom.net>

Thanks. I have tried your code an it appears to do exactly what I
want.

Jimmy.

On Sep 3, 6:13 am, d... at wolfram.com wrote:
> I suspect that Bertok code is doing roughly as it should. In general PSLQ
> just "runs out of precision", so to speak, and has to give up, when there
> is no reasonable candidate relation. If you in fact want to see huge
> multipliers, you can get that effect using lattice reduction methods. But
> I suspect you just want a graceful failure mode.
>
> Around 9-10 years ago I wrote a PSLQ implementation that I think is a bit,
> well, not so good. I give the code below, with the caveat that it is "as
> is". It might or might not find your desired integer relations. Don't
> expect it to find you amorous relations, or wealthy distant relations. I
> simply offer it as an alternative to what you already have, on the off
> chance that it might be of use. Feel free to improve on it in any way you
> like (and if it starts finding wealthy distant relations, I'd like to hear
> about that).
>
> I no longer recall how this stuff works. My only comment on the actual
> code is that the value 'const' can be made into a parameter for this
> algorithm; it is equivalent to lambda^2 from PSLQ literature.
>



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