Low grade matrices and matrix fraction representations

Linear Algebra and Its Applications

Volumn 342, Issue 1-3, 2002, Pages 187-201

  Mullhaupt, Andrew P ^a   Riedel, Kurt S ^a,b  

^a SAC Capital Management LLC   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

Matrix fraction; Matrix grade; Matrix product; Matrix representations

Indexed keywords

BANDWIDTH;

D MATRIXES; GIVENS ROTATION; LOW GRADE; MATRIX PRODUCTS; MATRIX REPRESENTATION; SUB-BLOCKS; UNITARY HESSENBERG MATRICES; UPPER TRIANGULAR MATRICES;

MATRIX ALGEBRA;

EID: 33646252731     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00463-3     Document Type: Article

References (11)

1. G. Ammar, W. Gragg, L. Reichel, Constructing a unitary Hessenberg matrix from spectral data, in: G. Golub, P. Van Dooren (Eds.), Numerical Linear Algebra, Digital Signal Processing, and Parallel Algorithms, NATO ASI, vol. 70, Springer, Berlin, 1991, pp. 305–385.
2. ij=0 for j>i+p. Math Scand. 7 (1959), 57–60.
3. Cao, W., Stewart, W.J., A note on the inverse of Hessenberg-like matrices. Linear Algebra Appl. 76 (1986), 233–240.
4. Golub, G.H., Van Loan, C.F., Matrix Computations, third ed., 1996, John Hopkins University Press, Baltimore, MD.
5. Ikebe, Y., On the inverse of Hessenberg matrices. Linear Algebra Appl. 24 (1979), 93–97.
6. Mulhaupt, A., Riedel, K.S., Fast identification of innovations filters. IEEE Trans. Signal Process. 45 (1997), 2616–2619.
7. Mulhaupt, A., Riedel, K.S., Banded matrix fraction representations of triangular input normal matrix pairs. IEEE Trans. Automat. Control, 2001 to appear.
8. Roberts, R.A., Mullis, C.T., Digital Signal Processing, 1987, Addison Wesley, Reading, MA.
9. Rózsa, P., On the inverse of band matrices. Linear Algebra Appl. 150 (1991), 287–295.
10. Rózsa, P., Bevilacqua, R., Romani, F., Favati, P., On band matrices and their inverses. Linear Algebra Appl. 150 (1991), 287–295.
11. P. Rózsa, F. Romani, R. Bevilacqua, On generalized band matrices and their inverses, in: J.D. Brown et al. (Eds.), Proceedings of the Lanczos International Centary Conference, SIAM, Philadelphia, PA, 1994, pp. 109–121.