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Hermite Normal Form

To: mathgroup@smc.vnet.net
Subject: [mg12333] Hermite Normal Form
From: "Andrew J. Schaefer" <schaefer@akula.isye.gatech.edu>
Date: Thu, 7 May 1998 18:52:19 -0400
Organization: Georgia Institute of Technology

Does anyone know the definition of Hermite Normal Form that Mathematica
uses?  The Operations Research/Integer Programming literature seems to
use a definition that requires the diagonal entries to be larger than
off-diagonal entries.  However, the HermiteNormalForm[] function
returns a matrix with off-diagonal entries larger than the diagonal
entries.

Any knowledge of the definition that Mathematica uses would be greatly
appreciated.

Thanks!

Andrew Schaefer
Ph.D. Student
School of ISyE
Georgia Tech

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