On Minor Prime Factorizations for n-D Polynomial Matrices

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 52, Issue 9, 2005, Pages 568-571

  Lin, Zhiping ^a   Xu, Li ^b   Fan, Huijin ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b AKITA PREFECTURAL UNIVERSITY   (Japan)

Author keywords

Matrix factorizations; minor primeness; multidimensional (n D); reduced minors; systems n D polynomial matrices

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; NUMERICAL ANALYSIS; POLES AND ZEROS; POLYNOMIALS;

MATRIX FACTORIZATIONS; MINOR PRIMENESS; POLYNOMIAL MATRICES; REDUCED MINORS;

MATRIX ALGEBRA;

EID: 26844534519     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.850516     Document Type: Article

References (11)

1. N. K. Bose, B. Buchberger, and J. P. Guiver, Multidimensional Systems Theory and Applications. Dordrecht, The Netherlands: Kluwer, 2003.
2. D. C. Youla and G. Gnavi, “Notes on n-dimensional system theory,” IEEE Trans. Circuits Syst., vol. CAS-26, no. 2, pp. 105–111, Feb. 1979.
3. Z. Lin, “On matrix fraction descriptions of multivariable linear n-D systems,” IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1317–1322, Oct. 1988.
4. Z. Lin, “Notes on n-D polynomial matrix factorizations,” Multidimensional Syst. Signal Process., vol. 10, pp. 379–393, 1999.
5. Z. Lin and N. K. Bose, “A generalization of Serre's conjecture and some related issues,” Linear Algebra Appl., vol. 338, pp. 128–138, 2001.
6. J. F. Pommaret, “Solving Bose conjecture on linear multidimensional systems,” in Proc. Eur. Control Conf., 2001, pp. 1853–1855.
7. V. Srinivas, “A generalized Serre problem,” J. Algebra, vol. 278, no. 2, pp. 621–627, Aug. 2004.
8. M. Wang and D. Feng, “On Lin-Bose problem,” Linear Algebra Appl., vol. 390, pp. 279–285, Oct. 2004.
9. C. Charoenlarpnopparut and N. K. Bose, “Multidimensional FIR filter bank design using Grobner bases,” IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 46, no. 12, pp. 1475–1486, Dec. 1999.
10. B. C. Levy, “2-D polynomial and rational matrices, and their applications for the modeling of 2-D dynamical systems,” Ph.D. dissertation, Info. Syst. Lab., Stanford Univ., Stanford, CA, Jun. 1981.
11. Z. Lin, J. Q. Ying, and L. Xu, “Factorizations for n-D polynomial matrices,” Circuits, Syst., Signal Process., vol. 20, pp. 601–618, 2001.