Matrix pencils over a principal ideal domain

M. S. Boudellioua; B. Chentouf

Matrix pencils over a principal ideal domain

M. S. Boudellioua^*, B. Chentouf

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we show that an arbitrary polynomial matrix with coefficient matrices with elements in a principal ideal ring is always equivalent to a pencil form. The exact nature of the equivalence transformation linking the original matrix to the pencil is established.

Original language	English
Pages (from-to)	173-188
Number of pages	16
Journal	Arabian Journal for Science and Engineering
Volume	29
Issue number	2 A
Publication status	Published - Jul 2004

Keywords

Generalized state space
Matrix pencil
Smith form
Zero-coprime equivalence

ASJC Scopus subject areas

General

Cite this

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title = "Matrix pencils over a principal ideal domain",

abstract = "In this paper, we show that an arbitrary polynomial matrix with coefficient matrices with elements in a principal ideal ring is always equivalent to a pencil form. The exact nature of the equivalence transformation linking the original matrix to the pencil is established.",

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AU - Chentouf, B.

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KW - Zero-coprime equivalence

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Matrix pencils over a principal ideal domain

Abstract

Keywords

ASJC Scopus subject areas

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