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# The Gauss Package Manual

## Extended Gauss Functionality for GAP

Version 2017.06.14

March 2013

Simon Goertzen
Email: simon.goertzen@rwth-aachen.de
Homepage: http://wwwb.math.rwth-aachen.de/goertzen/
Lehrstuhl B für Mathematik
Templergraben 64
52062 Aachen
(Germany)

### Abstract

This document explains the primary uses of the Gauss package. Included is a documented list of the most important methods and functions needed to work with sparse matrices and the algorithms provided by the Gauss package.

This package may be distributed under the terms and conditions of the GNU Public License Version 2.

### Acknowledgements

The Gauss package would not have been possible without the helpful contributions by

• Max Neunhöffer, University of St Andrews, and

• Mohamed Barakat, Lehrstuhl B für Mathematik, RWTH Aachen.

Many thanks to these two and the Lehrstuhl B für Mathematik in general. It should be noted that the GAP algorithms for SemiEchelonForm and other methods formed an important and informative basis for the development of the extended Gaussian algorithms. This manual was created with the help of the GAPDoc package by F. Lübeck and M. Neunhöffer [LN08].

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