Matrix pencils over a principal ideal domain

M. S. Boudellioua, B. Chentouf

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)173-188
Number of pages16
JournalArabian Journal for Science and Engineering
Volume29
Issue number2 A
Publication statusPublished - Jul 2004

Fingerprint

Principal ideal domain
Matrix Pencil
Equivalence Transformations
Polynomial Matrices
Linking
Ring
Arbitrary
Coefficient
Form

Keywords

  • Generalized state space
  • Matrix pencil
  • Smith form
  • Zero-coprime equivalence

ASJC Scopus subject areas

  • General

Cite this

Matrix pencils over a principal ideal domain. / Boudellioua, M. S.; Chentouf, B.

In: Arabian Journal for Science and Engineering, Vol. 29, No. 2 A, 07.2004, p. 173-188.

Research output: Contribution to journalArticle

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