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Re: Exact Schur Decomposition

• To: mathgroup at smc.vnet.net
• Subject: [mg128175] Re: Exact Schur Decomposition
• From: Sseziwa Mukasa <mukasa at gmail.com>
• Date: Fri, 21 Sep 2012 04:13:24 -0400 (EDT)
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• References: <20120920042627.1724B6866@smc.vnet.net>

Unfortunately the implementation in Mathematica is for numerical 
matrices only as the help text states:

SchurDecomposition[m]
yields the Schur decomposition for a numerical matrix m,...

On Sep 20, 2012, at 12:26 AM, Geoffrey Eisenbarth wrote:

> Anyone know of a work around to get exact matrices out of the 
SchurDecomposition command? Unfortunately, when I pass an integer matrix 
through the command, it gives an infinite precision error. I know I can 
run the matrix through the numerical N[] command before I pass it to 
SchurDecomposition[], but I'd like to be able to get the exact unitary 
and upper triangular matrices which decompose a given matrix. Any 
thoughts on a work around, or is this futile?
>

• References:
  • Exact Schur Decomposition
    • From: Geoffrey Eisenbarth <geoffrey.eisenbarth@gmail.com>