Vandermonde factorization and canonical representations of block Hankel matrices

Linear Algebra and Its Applications

Volumn 241-243, Issue , 1996, Pages 247-278

  Feldmann, Sven ^a   Heinig, Georg ^b  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b KUWAIT UNIVERSITY   (Kuwait)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344449481     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00501-3     Document Type: Article

References (23)

1. N. I. Achiezer and M. G. Krein, Some Questions in the Theory of Moments, Transl. Math. Monographs 2, Amer. Math. Soc., Providence, 1962.
2. A. C. Antoulas, On recursiveness and related topics in linear systems, IEEE Trans. Autom. Control AC-31:1121-1135 (1986).
3. R. I. Ellis and D. C. Lay, Factorization of finite rank Hankel and Toeplitz matrices, Linear Algebra Appl. 173:19-38 (1992).
4. S. Feldmann, Eindeutigkeitseigenschaften minimaler partieller Realisierungen und kanonische Darstellung von Block-Hankel-Matrizen, Dissertation (Ph.D. Thesis), Universität Leipzig, 1994.
5. S. Feldmann and G. Heinig, Uniqueness properties of minimal partial realization, Linear Algebra Appl. 203-204:401-427 (1994).
6. M. Fiedler, Hankel and Loewner matrices, Linear Algebra Appl. 58:75-95 (1984).
7. M. Fiedler, Polynomials and Hankel matrices, Linear Algebra Appl. 66:235-248 (1985).
8. M. Fiedler and V. Ptak, Bezoutians and intertwining matrices, Linear Algebra Appl. 86:43-51 (1987).
9. E. Fischer, Über das Caratheodorysche Problem, Potenzreihen mit positivem reellen Teil betreffend, Rend. Palermo, 32 (1911).
10. G. Chen and Z. Yang, Bezoution representation via Vandermonde matrices, Linear Algebra Appl. 186:37-44 (1993).
11. W. B. Gragg and L. Reichel, On singular values of Hankel operators of finite rank, Linear Algebra Appl. 121:53-70 (1989).
12. G. Heinig, Endliche Toeplitzmatrizen und zweidimensionale Wiener-Hopf-Operatoren mit homogenem Symbol, I, Math. Nachr. 82:29-68 (1978).
13. G. Heinig and P. Jankowski, Kernel structure of block Hankel and Toeplitz matrices and partial realization, Linear Algebra Appl. 175:1-30 (1992).
14. G. Heinig and P. Jankowski, Parallel and superfast algorithms for Hankel systems of equations, Numer. Math. 58:109-127 (1990).
15. G. Heinig and U. Jungnickel, Hankel matrices generated by Markov parameters, Hankel matrix extension, partial realization, and Pade approximation, in Operator Theory and Systems: Proceedings Workshop Amsterdam, 1985 (H. Bart, I. Gohberg, and M. A. Kaashoek, Eds.), Operator Theory: Adv. Appl. 19, pp. 231-254, Birkhäuser, Boston, 1986.
16. G. Heinig and K. Rost, Algebraic Methods for Toeplitz-Like Matrices and Operators, Akademie-Verlag, Berlin, Birkhäuser Basel/Boston/Stuttgart, 1984.
17. I. S. Iohvidov, Toeplitz and Hankel Matrices and Forms, Birkhäuser, Basel, 1982.
18. F. I. Lander, The Bezoutian and the inversion of Hankel and Toeplitz matrices, Mat. Issled. 9:69-87 (1974). [in Russian]
19. R. Hartwig and V. Mani, Bezoutian reduction over arbitrary fields, Linear Algebra Appl., to appear.
20. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
21. L. Rodman, An Introduction to Operator Polynomials, OT 38, Birkhäuser, Basel, 1989.
22. G. Sansigre and M. Alvarez, On Bezoutian reduction with the Vandermonde matrix, Linear Algebra Appl. 121:401-408 (1989).
23. M. Tismenetsky, Factorization of Hermitian block Hankel matrices, Linear Algebra Appl. 166:45-63 (1992).