Solving Rank One Perturbed Linear Diophantine Systems Using the Hermite Normal Form

Authors

  • Mostafa Khorramizadeh

DOI:

https://doi.org/10.30495/jme.v7i0.221

Keywords:

Hermite normal form, free module, linear diophantine system

Abstract

We show how we can obtain the general solution of rank
one perturbed linear Diophantine systems (A + uvT )x = b using only
information from the application of the Hermite normal form algorithm
to the corresponding linear Diophantine system Ax = b. The empirical
results show that use of the proposed algorithm may result in saving
considerable computing time.

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Published

2014-02-21

Issue

Vol. 7

Section

Vol. 7, No. 4, (2013)

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