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MathGroup Archive 2004

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Root function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51009] Root function
  • From: Ben <bmauer at wisc.edu>
  • Date: Fri, 1 Oct 2004 04:49:05 -0400 (EDT)
  • Organization: University of Wisconsin, Madison
  • Sender: owner-wri-mathgroup at wolfram.com

When I try to diagonalize this matrix in mathematica 5:
Eigensystem[{{-1, 1, 0, 0}, {1, -2, 1, 0}, {0, 1, -2, 0}, {0, 0, 1, 0}}]
I get this ugly mess

\!\({{Root[1 + 6\ #1 + 5\ #1\^2 + #1\^3 &, 1], Root[1 + 6\ #1 +
             5\ #1\^2 + #1\^3 &, 2], Root[
       1 + 6\ #1 + 5\ #1\^2 + #1\^3 &, 3], 0}, {{\(-1\) - 3\
             Root[1 + 6\ #1 + 5\ #1\^2 + #1\^3 &, 1] - Root[1 + 6\ #1 +
  etc etc etc

Mathematica 4 gives me the right answer.
How do I get v5 to not spit this out and what does it mean?


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