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MathGroup Archive 2005

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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
> 
> 


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