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EDIM

Elementary Divisors and Integer Matrices

Version 1.3.8

February 2024

Frank Lübeck
Email: Frank.Luebeck@Math.RWTH-Aachen.De
Homepage: https://www.math.rwth-aachen.de/~Frank.Luebeck
Address:
Lehrstuhl D für Mathematik RWTH Aachen Pontdriesch 14/16 52062 Aachen Germany

Copyright

EDIM is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

1 The EDIM-Package

1.1 Installation of the EDIM package

1.1-1 InfoEDIM

1.2 p-Parts of Elementary Divisors

1.2-1 ElementaryDivisorsPPartRk
1.2-2 ElementaryDivisorsPPartHavasSterling

1.3 Inverse of Rational Matrices

  1.3-1 InverseRatMat
  1.3-2 RationalSolutionIntMat
  1.3-3 ExponentSquareIntMatFullRank

1.4 All Elementary Divisors Using p-adic Method

1.4-1 ElementaryDivisorsSquareIntMatFullRank
1.4-2 ElementaryDivisorsIntMatDeterminant

1.5 Gcd and Normal Forms Using LLL

  1.5-1 GcdexIntLLL
  1.5-2 HermiteIntMatLLL
  1.5-3 HermiteIntMatLLLTrans
  1.5-4 SmithIntMatLLL
  1.5-5 SmithIntMatLLLTrans

1.6 Utility Functions from the EDIM-package