On the computation of the generalized inverse of a polynomial matrix

IMA Journal of Mathematical Control and Information

Volumn 18, Issue 1, 2001, Pages 83-97

  Karampetakis, N P ^a   Tzekis, P ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; LINEAR EQUATIONS; POLYNOMIALS;

POLYNOMIAL MATRIX;

MATRIX ALGEBRA;

EID: 0035280310     PISSN: 02650754     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamci/18.1.83     Document Type: Article

References (11)

1. DECELL, H. P. 1965 An application of the Cayley-Hamilton theorem to generalized matrix inversion. SIAM Rev. 7, 526-528.
2. FRAGULIS, G., MERTZIOS, B. G., & VARDULAKIS, A. I. G. 1991 Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion, Int. J. Control 53, 431-443.
3. JONES, J., KARAMPETAKIS, N. P., & PUGH, A. C. 1996 Computation of the generalized inverse of a rational matrix via MAPLE and applications. Proceedings of the CACSD-96.
4. KARAMPETAKIS, N. P., MERTZIOS, B. G., & VARDULAKIS, A. I. G. 1994 Computation of the transfer function matrix and its Laurent expansion of generalized two-dimensional systems. Int. J. Control 60, 321-541.
5. KARAMPETAKIS, N. P. 1997a Computation of the generalized inverse of a polynomial matrix and applications. Linear Algebr. Appl. 252, 35-60.
6. KARAMPETAKIS, N. P. 1997b Generalized inverses of two variable polynomial matrices and applications. Circuit Syst. & Signal Process. 16, 439-453.
7. KUCERA, V. 1993 Diophantine equations in control - A survey, Automatica, 29, 1361-1375.
8. LOVASS NAGY, V., MILLER, R., & POWERS, D. 1976 Research note: on the application of matrix generalized inverses to the construction of inverse systems. Int. J. Control 24, 733-739.
9. LOVASS NAGY, V., MILLER, K., & POWERS, D. 1978a Transfer function matrix synthesis by matrix generalized inverses. Int. J. Control 27, 387-391.
10. LOVASS NAGY, N., MILLER, R., & POWERS, D. 1978b An introduction to the application of the simplest matrix generalized inverse in system science. IEEE Trans. Autom. Control 25, 766-771.
11. PENROSE, R. 1955 A generalized inverse for matrices. Proc. Cambridge Phil. Soc. 51, 406-413.