A new family of companion forms of polynomial matrices

Vologiannidis, Stavros/ Antoniou, Efstathios/ Αντωνίου, Ευστάθιος/ Βολογιαννίδης, Σταύρος


Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Keywords: Μαθηματικός προγραμματισμός;Finite element analysis;Numerical analysis programs;Polynomial methods;Polynomial matrix description (PMDs);Polynomial matrices;Linear differential equations;Matrixes (Algebra);Mathematical programming;Linearization;Πίνακες (Μαθηματικά);Γραμμικές διαφορικές εξισώσεις;Πολυώνυμοι πίνακες;Πολυώνυμη περιγραφή πίνακα;Πολυώνυμες μέθοδοι;Προγράμματα αριθμητικής ανάλυσης;Ανάλυση πεπερασμένων στοιχείων
Issue Date: Apr-2004
Publisher: Electronic Journal of Linear Algebra
Citation: Antoniou, E. & Vologiannidis, S. (Απρίλιος 2004). A new family of companion forms of polynomial matrices. Electronic Journal of Linear Algebra. 11:78-87.
Journal: Electronic Journal of Linear Algebra, vol.11, 2004
Abstract: In this paper a new family of companion forms associated to a regular polynomial matrix is presented. Similar results have been presented in a recent paper by M. Fiedler, where the scalar case is considered. It is shown that the new family of companion forms preserves both the finite and infinite elementary divisors structure of the original polynomial matrix, thus all its members can be seen as linearizations of the corresponding polynomial matrix. Furthermore, for the special class of self-adjoint polynomial matrices a particular member is shown to be self-adjoint itself.
Description: Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2004
URI: http://195.251.240.227/jspui/handle/123456789/10393
ISSN: 1081-3810
Other Identifiers: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol11_pp78-87.pdf
Item type: other
Submission Date: 2018-02-28T17:07:03Z
Item language: el
Item access scheme: free
Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Appears in Collections:Δημοσιεύσεις σε Περιοδικά

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