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MathGroup Archive 2005

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GramSchmidt problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57023] GramSchmidt problem
  • From: Heath Gerhardt <heathgerhardt at hotmail.com>
  • Date: Thu, 12 May 2005 02:34:15 -0400 (EDT)
  • Organization: Department of Computer Science, University of Calgary
  • Sender: owner-wri-mathgroup at wolfram.com

Does anyone know if there are any know problems with GramSchmidt
crashing Mathematica? When I run it on these 4 25-dimensional vectors it
crashes on my system:

\!\({1\/2\ \((3 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 1\/2\ \((1 + \@5)\), 0, 
    1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((\(-3\) - \@5)\), 1\/2\ \((3 + \@5)\), 
    1\/2\ \((\(-1\) - \@5)\), 0, 1\/2\ \((1 + \@5)\), 1\/2\ \((1 + \@5)\), 
    1\/2\ \((\(-1\) - \@5)\), 1, 0, \(-1\), 0, 0, 0, 0, 0, 
    1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((1 + \@5)\), \(-1\), 0, 1}\)

\!\({1\/2\ \((1 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 1\/2\ \((3 + \@5)\), 
    1\/2\ \((\(-1\) - \@5)\), 0, 1\/2\ \((\(-1\) - \@5)\), 
    1\/2\ \((3 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 1\/2\ \((1 + \@5)\), 0,
1, 
    1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((1 + \@5)\), \(-1\), 0, 0, 0, 0, 0, 
    0, \(-1\), 1\/2\ \((1 + \@5)\), 1\/2\ \((\(-1\) - \@5)\), 1, 0}\)

\!\({1\/2\ \((1 + \@5)\), 1\/2\ \((\(-1\) - \@5)\), 1, 0, \(-1\), 
    1\/2\ \((\(-3\) - \@5)\), 1\/2\ \((3 + \@5)\), 1\/2\ \((\(-1\) - \@5)\), 
    0, 1\/2\ \((1 + \@5)\), 1\/2\ \((3 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 
    1\/2\ \((1 + \@5)\), 0, 1\/2\ \((\(-1\) - \@5)\), 
    1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((1 + \@5)\), \(-1\), 0, 1, 0, 0, 0, 0, 
    0}\)

\!\({1, 1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((1 + \@5)\), \(-1\), 0, 
    1\/2\ \((\(-1\) - \@5)\), 1\/2\ \((3 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 
    1\/2\ \((1 + \@5)\), 0, 1\/2\ \((1 + \@5)\), 1\/2\ \((\(-3\) - \@5)\), 
    1\/2\ \((3 + \@5)\), 1\/2\ \((\(-1\) - \@5)\), 0, \(-1\), 
    1\/2\ \((1 + \@5)\), 1\/2\ \((\(-1\) - \@5)\), 1, 0, 0, 0, 0, 0, 0}\)


thanks in advance
Heath


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