Re: numerical, bessel

• To: mathgroup at smc.vnet.net
• Subject: [mg55265] Re: [mg55196] numerical, bessel
• From: yehuda ben-shimol <bsyehuda at gmail.com>
• Date: Thu, 17 Mar 2005 03:31:35 -0500 (EST)
• References: <200503161036.FAA23846@smc.vnet.net>
• Reply-to: yehuda ben-shimol <bsyehuda at gmail.com>
• Sender: owner-wri-mathgroup at wolfram.com

```The response of version 5.1 (windows XP) is different. The function
complaints that the AccuracyGoal is greater than the workingPrecision.
I changed it to
BesselJZeros[0, {17, 19}, WorkingPrecision -> 200, AccuracyGoal -> 30]
and got
{52.62405184111499602925128538039157330012033293268689416022022217597930427828\
762754648684690021464394162859511201371689733769604079322497857828492468394196\
2133353884299041810304818447503504584919833908, \
55.765510755019979311683492773461830631375339755204692353411284032074447555903\
760267955819531736320017999503134765884257121981020700744432566113607049711143\
161016577322056334125588486684256210677678297, \
58.906983926080942132834406634615685585658088855756154611877678123376180933144\
524242245417039683360710782600200307309439901713384170911994546882951657792356\
398121691959237620775070442352712204750828927}
I assume that besides the warnings, taking care of a proper
WorkingPrecision value will lead to the required result.
yehuda
p.s.
Options are by no mean absolutly independent options. First it means
that you may define a value for an argumnet by using its NAME rather
than its position in the argument list as happen in traditional
programming languages. Options have default values, and their effect
on the function are not always independent. Maybe it is a good idea
that other values wil be changes according to an outside settiong of
options' values but for the moment it is not the case.
I hope this helps
yehuda

On Wed, 16 Mar 2005 05:36:27 -0500 (EST), Richard Fateman
<fateman at cs.berkeley.edu> wrote:
> << NumericalMath`BesselZeros`
> BesselJZeros[0, {17, 19}, WorkingPrecision -> 30]
>
> works, but
>
> BesselJZeros[0, {17, 19}, AccuracyGoal -> 30]
>
> just returns unevaluated.
>
> The documentation for NumericalMath`BesselZeros`  claims that
> AccuracyGoal, as well as WorkingPrecision is an option.  Apparently not.
> version 5.0
>
>

```

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