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MathGroup Archive 2007

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Re: Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg73322] Re: [mg73309] Eigensystem
  • From: "Christoph Lhotka" <lhotka at astro.univie.ac.at>
  • Date: Mon, 12 Feb 2007 05:02:37 -0500 (EST)

Dear Vadim!

Eigensystem gives you the result in the accuracy you specify as input. So just
try e.g.

In[.]:=Eigensystem[{{1`50, 2}, {3, 4}}]

which will give you the eigensystem up to 50 digits.

1. is by default MachinePrecision (try Precision), 1`N is a N-th digit
precision number. The result will always be of the lowest precision given in
the input line.

best regards,

Christoph

PS: This is a fundamental principle in any Mathematica function.


On Sun, 11 Feb 2007 01:14:28 -0500 (EST)
 "Vadim N. Smelyanskiy" <vadim at email.arc.nasa.gov> wrote:
> Dear Sir/Madam:
> 
>  
> 
> I am a user of Mathematica 5.2 for Windows.
> 
> Please can you advice me how to run Eigensystem function so that its result
> has precision (say 50)
> 
> that is much higher then the Machine Precision. 
> 
>  
> 
> Thank you
> 
> Vadim
> 
>  
> 
> Vadim N. Smelyanskiy, PhD
> 
> NASA Ames Research Center
> 
> Discovery and System Health Area
> 
> Intelligent Systems Division
> 
> Mail Stop 269-3
> 
> Moffett Field, CA 94035-1000
> 
> Tel.: 650-604-2261
> 
> Fax: 650-604-4036
> 
>  
> 

-- Mag. Christoph Lhotka --
University of Vienna / Department of Astronomy
Tuerkenschanzstrasse 17, A-1180 Vienna, Austria
fon. +43 (1) 4277 51841
mail. lhotka at astro.univie.ac.at


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