Equivalence to Smith form of a class of multivariate polynomial matrices

Mohamed S. Boudellioua

doi:10.1109/nds.2005.195364

Equivalence to Smith form of a class of multivariate polynomial matrices

Mohamed S. Boudellioua^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to conference › Paper › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider the problem of reducing a multivariate polynomial matrix to Smith form by a unimodular equivalence transformation. Gröbner bases are used to determine whether a certain class of multivariate polynomial matrices is equivalent with its Smith form. The proposed conditions can be easily tested using a computer algebra system.

Original language	English
Pages	259-262
Number of pages	4
DOIs	https://doi.org/10.1109/nds.2005.195364
Publication status	Published - 2005
Event	4th International Workshop on Multidimensional Systems, NDS 2005 - Wuppertal, Germany Duration: Jul 10 2005 → Jul 13 2005

Other

Other	4th International Workshop on Multidimensional Systems, NDS 2005
Country/Territory	Germany
City	Wuppertal
Period	7/10/05 → 7/13/05

ASJC Scopus subject areas

Engineering(all)

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10.1109/nds.2005.195364

Cite this

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AB - In this paper, we consider the problem of reducing a multivariate polynomial matrix to Smith form by a unimodular equivalence transformation. Gröbner bases are used to determine whether a certain class of multivariate polynomial matrices is equivalent with its Smith form. The proposed conditions can be easily tested using a computer algebra system.

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Equivalence to Smith form of a class of multivariate polynomial matrices

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