# Bilinear characterizations of companion matrices

Special Matrices (2014)

- Volume: 2, Issue: 1, page 99-105, electronic only
- ISSN: 2300-7451

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topMinghua Lin, and Harald K. Wimmer. "Bilinear characterizations of companion matrices." Special Matrices 2.1 (2014): 99-105, electronic only. <http://eudml.org/doc/267175>.

@article{MinghuaLin2014,

abstract = {Companion matrices of the second type are characterized by properties that involve bilinear maps.},

author = {Minghua Lin, Harald K. Wimmer},

journal = {Special Matrices},

keywords = {Companion matrix; reachability matrix; bilinear map; companion matrix},

language = {eng},

number = {1},

pages = {99-105, electronic only},

title = {Bilinear characterizations of companion matrices},

url = {http://eudml.org/doc/267175},

volume = {2},

year = {2014},

}

TY - JOUR

AU - Minghua Lin

AU - Harald K. Wimmer

TI - Bilinear characterizations of companion matrices

JO - Special Matrices

PY - 2014

VL - 2

IS - 1

SP - 99

EP - 105, electronic only

AB - Companion matrices of the second type are characterized by properties that involve bilinear maps.

LA - eng

KW - Companion matrix; reachability matrix; bilinear map; companion matrix

UR - http://eudml.org/doc/267175

ER -

## References

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- [4] A. J. Brzezinski, S. Kukreja, Jun Ni, and D. S. Bernstein, Sensor-only fault detection using pseudo transfer function identification, in Proc. Amer. Contr. Conf., 5433–5438, Baltimore, June 2010.
- [5] F. De Terán, F. M. Dopico, and J. Pérez, Condition numbers for inversion of Fiedler matrices, Linear Algebra Appl. 439, 944–981 (2013). [WoS] Zbl1281.15004
- [6] A. Ferrante and H. K. Wimmer, Reachability matrices and cyclic matrices, Electron. J. Linear Algebra 20, 95–102 (2010). Zbl1198.15009
- [7] I. Gohberg, P. Lancaster, and L. Rodman, Matrix Polynomials, Academic Press, New York, 1982. Zbl0482.15001
- [8] M. L. J. Hautus, Operator substitution, Linear Algebra Appl. 205–206, 713–739 (1994). Zbl0806.47012
- [9] Th. Kailath, Linear Systems, Prentice Hall, Englewood Cliffs, 1980.

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