Computation of the general solution of a multivariate polynomial matrix Diophantine equation

Tzekis, P./ Antoniou, Efstathios/ Vologiannidis, Stavros/ Αντωνίου, Ευστάθιος/ Βολογιαννίδης, Σταύρος/ Τζέκης, Π.


Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Issue Date: 2013
Citation: Mediterranean Conference on Control Automation (MED), 2013
A. Tzekis, E. Antoniou, and S. Vologiannidis (2013) Computation of the general solution of a multivariate polynomial matrix Diophantine equation, 2013
Abstract: In this paper we propose a procedure to reduce a 2 - D square polynomial matrix of arbitrary degrees to matrix pencils of the form sX + ZY + A, using zero coprime equivalence. As a further step, we provide the necessary and sufficient condition by which pencils of specific forms, appearing as parametric families, are zero coprime equivalent to a 2 - D regular polynomial matrix. Appropriate examples are provided to illustrate the use of proven results.
Description: Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2013
URI: http://195.251.240.227/jspui/handle/123456789/10379
Other Identifiers: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6608796
10.1109/MED.2013.6608796
Appears in Collections:Δημοσιεύσεις σε Περιοδικά

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