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

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 prop...

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Bibliographic Details
Main Author: M. Khorramizadeh
Format: Article
Language:English
Published: Islamic Azad University 2013-12-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/221/134