Re: numerical, bessel
- To: mathgroup at smc.vnet.net
- Subject: [mg55251] Re: [mg55196] numerical, bessel
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Thu, 17 Mar 2005 03:30:35 -0500 (EST)
- Reply-to: hanlonr at cox.net
- Sender: owner-wri-mathgroup at wolfram.com
On my system a result is returned along with several warning messages
$Version
5.1 for Mac OS X (January 27, 2005)
Needs["NumericalMath`BesselZeros`"];
BesselJZeros[0,{17,19},WorkingPrecision->30]
{52.6240518411149960292512853804,55.76551075501997931168349277
35,58.\
9069839260809421328344066346}
BesselJZeros[0,{17,19},AccuracyGoal->30]
BesselJZeros::tma2:Warning: AccuracyGoal -> 30 is not a valid value, or is \
larger than WorkingPrecision -> MachinePrecision, computation may not be
able \
to achieve desired accuracy.
\!\(\*FormBox[
RowBox[{\(FindRoot::"frmp"\), ":", "\<\"Machine precision is insufficient
to achieve
the accuracy \\!\\(TraditionalForm\\`1.0000000000000017`*^-30\\). \
\\!\\(\\*ButtonBox[\\\"More?\\\", ButtonStyle->\\\"RefGuideLinkText\\\",
\
ButtonFrame->None, ButtonData:>\\\"FindRoot::frmp\\\"]\\)\"\>"}], \
TraditionalForm]\)
\!\(\*FormBox[
RowBox[{\(FindRoot::"frmp"\), ":", "\<\"Machine precision is insufficient
to achieve
the accuracy \\!\\(TraditionalForm\\`1.0000000000000017`*^-30\\). \
\\!\\(\\*ButtonBox[\\\"More?\\\", ButtonStyle->\\\"RefGuideLinkText\\\",
\
ButtonFrame->None, ButtonData:>\\\"FindRoot::frmp\\\"]\\)\"\>"}], \
TraditionalForm]\)
\!\(\*FormBox[
RowBox[{\(FindRoot::"frmp"\), ":", "\<\"Machine precision is insufficient
to achieve
the accuracy \\!\\(TraditionalForm\\`1.0000000000000017`*^-30\\). \
\\!\\(\\*ButtonBox[\\\"More?\\\", ButtonStyle->\\\"RefGuideLinkText\\\",
\
ButtonFrame->None, ButtonData:>\\\"FindRoot::frmp\\\"]\\)\"\>"}], \
TraditionalForm]\)
\!\(\*FormBox[
RowBox[{\(General::"stop"\), ":",
"\<\"Further output of \\!\\(TraditionalForm\\`\\(
FindRoot :: \\\"frmp\\\"\\)\\) will be suppressed during this \
calculation. \\!\\(\\*ButtonBox[\\\"More?\\\", \
ButtonStyle->\\\"RefGuideLinkText\\\", ButtonFrame->None, \
ButtonData:>\\\"General::stop\\\"]\\)\"\>"}], TraditionalForm]\)
{52.624051841115, 55.765510755019974, 58.906983926080954}
Bob Hanlon
>
> From: Richard Fateman <fateman at cs.berkeley.edu>
To: mathgroup at smc.vnet.net
> Date: 2005/03/16 Wed AM 05:36:27 EST
> To: mathgroup at smc.vnet.net
> Subject: [mg55251] [mg55196] numerical, bessel
>
> << 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
>
>