Geodesic
Linearizations of polynomial matrices with symmetries and their applications
The electronic journal of linear algebra, Tome 15 (2006), pp. 107-114.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In an earlier paper by the present authors, a new family of companion forms associated with a regular polynomial matrix was presented, generalizing similar results by M. Fiedler who considered the scalar case. This family of companion forms preserves both the finite and infinite elementary divisor structure of the original polynomial matrix, thus all its members can be seen as linearizations of the corresponding polynomial matrix. In this note, its applications on polynomial matrices with symmetries, which appear in a number of engineering fields, are examined.
Classification : 15A21, 15A22, 15A23, 15A57
Keywords: polynomial matrix, companion form, linearization, self-adjoint polynomial matrix 
@article{ELA_2006__15__a21,
     author = {Antoniou, E.N. and Vologiannidis, S.},
     title = {Linearizations of polynomial matrices with symmetries and their applications},
     journal = {The electronic journal of linear algebra},
     pages = {107--114},
     publisher = {mathdoc},
     volume = {15},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2006__15__a21/}
}
TY  - JOUR
AU  - Antoniou, E.N.
AU  - Vologiannidis, S.
TI  - Linearizations of polynomial matrices with symmetries and their applications
JO  - The electronic journal of linear algebra
PY  - 2006
SP  - 107
EP  - 114
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2006__15__a21/
LA  - en
ID  - ELA_2006__15__a21
ER  - 
%0 Journal Article
%A Antoniou, E.N.
%A Vologiannidis, S.
%T Linearizations of polynomial matrices with symmetries and their applications
%J The electronic journal of linear algebra
%D 2006
%P 107-114
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2006__15__a21/
%G en
%F ELA_2006__15__a21
Antoniou, E.N.; Vologiannidis, S. Linearizations of polynomial matrices with symmetries and their applications. The electronic journal of linear algebra, Tome 15 (2006), pp. 107-114. http://geodesic.mathdoc.fr/item/ELA_2006__15__a21/