Bilinear characterizations of companion matrices

• Autorzy: Minghua Lin , Harald K. Wimmer
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Companion matrix; reachability matrix; bilinear map

Kategorie tematyczne

• 15A15: Determinants, permanents, other special matrix functions
• 15A03: Vector spaces, linear dependence, rank
• 93B05: Controllability

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2013-12-14

zaakceptowano

2014-05-07

online

2014-06-09

Twórcy

autor

Minghua Lin

• Department of Mathematics and Statistics, University of Victoria, BC, Canada, V8W 3R4,

autor

Harald K. Wimmer

• Mathematisches Institut, Universität Würzburg, 97074 Würzburg, Germany,

Bibliografia

• [1] H. Bart and G. Ph. A. Thijsse, Simultaneous reduction to companion and triangular forms of sets of matrices, Linear MultilinearAlgebra 26, 231–241 (1990).[Crossref]
• [2] A. J. Brzezinski, Output-Only Techniques for Fault Detection, Dissertation, Department of Aerospace Engineering, Universityof Michigan, Ann Arbor, 2011.
• [3] A. J. Brzezinski, E. Wu, and D. S. Bernstein, Curiously commuting vectors, Problem 44-3, IMAGE (Bulletin of the InternationalLinear Algebra Society) 44 (2010).
• [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]
• [6] A. Ferrante and H. K. Wimmer, Reachability matrices and cyclic matrices, Electron. J. Linear Algebra 20, 95–102 (2010).
• [7] I. Gohberg, P. Lancaster, and L. Rodman, Matrix Polynomials, Academic Press, New York, 1982.
• [8] M. L. J. Hautus, Operator substitution, Linear Algebra Appl. 205–206, 713–739 (1994).
• [9] Th. Kailath, Linear Systems, Prentice Hall, Englewood Cliffs, 1980.

Identyfikatory

DOI

10.2478/spma-2014-0010