메뉴 건너뛰기




Volumn 42, Issue 7, 2006, Pages 1085-1093

A Toeplitz algorithm for polynomial J-spectral factorization

Author keywords

Computer aided control system design; Numerical algorithms; Polynomial matrices; Spectral factorization

Indexed keywords

COMPUTATIONAL COMPLEXITY; DATA REDUCTION; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; VECTORS;

EID: 33646797746     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.02.011     Document Type: Article
Times cited : (9)

References (31)
  • 1
    • 33646810290 scopus 로고    scopus 로고
    • Bittanti, S., Laub, A. J., & Willems, J. C. (Eds.). (1991). The Riccati equation. Berlin: Springer.
  • 2
    • 0022060394 scopus 로고
    • On polynomial matrix spectral factorization by symmetric extraction
    • Callier F.M. On polynomial matrix spectral factorization by symmetric extraction. IEEE Transactions on Automatic Control 30 5 (1985) 453-464
    • (1985) IEEE Transactions on Automatic Control , vol.30 , Issue.5 , pp. 453-464
    • Callier, F.M.1
  • 5
    • 0002001988 scopus 로고
    • Factorization of self-adjoint matrix polynomials with constant signature
    • Gohberg I., Lancaster P., and Rodman L. Factorization of self-adjoint matrix polynomials with constant signature. Linear Multilinear Algebra 11 (1982) 209-224
    • (1982) Linear Multilinear Algebra , vol.11 , pp. 209-224
    • Gohberg, I.1    Lancaster, P.2    Rodman, L.3
  • 8
    • 33646764359 scopus 로고    scopus 로고
    • ∞ robust control design. London: Springer.
  • 9
    • 0033100181 scopus 로고    scopus 로고
    • Reliable numerical methods for polynomial matrix triangularization
    • Henrion D., and Šebek M. Reliable numerical methods for polynomial matrix triangularization. IEEE Transactions on Automatic Control 44 3 (1999) 497-508
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.3 , pp. 497-508
    • Henrion, D.1    Šebek, M.2
  • 10
    • 0034690575 scopus 로고    scopus 로고
    • An algorithm for polynomial matrix factor extraction
    • Henrion D., and Šebek M. An algorithm for polynomial matrix factor extraction. International Journal of Control 73 8 (2000) 686-695
    • (2000) International Journal of Control , vol.73 , Issue.8 , pp. 686-695
    • Henrion, D.1    Šebek, M.2
  • 11
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Kailath T. Linear systems (1980), Prentice-Hall, Englewood Cliffs, NJ
    • (1980) Linear systems
    • Kailath, T.1
  • 14
    • 33646764723 scopus 로고    scopus 로고
    • Lemonnier, D., & Van Dooren, P. (2004). Optimal scaling of block companion pencils. International symposium on mathematical theory of networks and systems. Belgium: Leuven.
  • 15
    • 0029343334 scopus 로고
    • J-spectral factorization and equalizing vectors
    • Meinsma G. J-spectral factorization and equalizing vectors. Systems Control Letters 25 (1995) 243-249
    • (1995) Systems Control Letters , vol.25 , pp. 243-249
    • Meinsma, G.1
  • 16
    • 0000356673 scopus 로고
    • An algorithm for generalized matrix eigenvalue problems
    • Moler C., and Stewart G.W. An algorithm for generalized matrix eigenvalue problems. SIAM Journal on Numerical Analysis 10 (1973) 241-256
    • (1973) SIAM Journal on Numerical Analysis , vol.10 , pp. 241-256
    • Moler, C.1    Stewart, G.W.2
  • 17
    • 1542373096 scopus 로고    scopus 로고
    • PolyX Ltd, Prague, Czech Republic See www.polyx.com
    • PolyX Ltd. The polynomial toolbox for matlab (1998), Prague, Czech Republic See www.polyx.com
    • (1998) The polynomial toolbox for matlab
  • 18
    • 0141754141 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for existence of J-spectral factorization for para-Hermitian rational matrix functions
    • Ran A.C.M. Necessary and sufficient conditions for existence of J-spectral factorization for para-Hermitian rational matrix functions. Automatica 39 (2003) 1935-1939
    • (2003) Automatica , vol.39 , pp. 1935-1939
    • Ran, A.C.M.1
  • 20
    • 0039967623 scopus 로고    scopus 로고
    • On self-adjoint matrix polynomials with constant signature
    • Ran A.C.M., and Zizler P. On self-adjoint matrix polynomials with constant signature. Linear Algebra Applications 259 (1997) 133-153
    • (1997) Linear Algebra Applications , vol.259 , pp. 133-153
    • Ran, A.C.M.1    Zizler, P.2
  • 21
    • 33646805908 scopus 로고    scopus 로고
    • Šebek, M. (1990). An algorithm for spectral factorization of polynomial matrices with any signature. Memorandum 912, Universiteit Twente, The Netherlands.
  • 22
    • 0141754142 scopus 로고    scopus 로고
    • Polynomial J-spectral factorization in minimal state-space
    • Stefanovski J. Polynomial J-spectral factorization in minimal state-space. Automatica 39 (2003) 1893-1901
    • (2003) Automatica , vol.39 , pp. 1893-1901
    • Stefanovski, J.1
  • 23
    • 4344591393 scopus 로고    scopus 로고
    • Discrete J-spectral factorization of possibly singular polynomial matrices
    • Stefanovski J. Discrete J-spectral factorization of possibly singular polynomial matrices. System Control Letters 53 (2004) 127-140
    • (2004) System Control Letters , vol.53 , pp. 127-140
    • Stefanovski, J.1
  • 24
    • 0035359418 scopus 로고    scopus 로고
    • The quadratic eigenvalue problem
    • Tisseur F., and Meerbergen K. The quadratic eigenvalue problem. SIAM Review 43 (2001) 235-286
    • (2001) SIAM Review , vol.43 , pp. 235-286
    • Tisseur, F.1    Meerbergen, K.2
  • 26
    • 33646761461 scopus 로고    scopus 로고
    • Tuel, W. G. (1968). Computer algorithm for spectral factorization of rational matrices. IBM Journal 163-170.
  • 29
    • 33646798927 scopus 로고    scopus 로고
    • Zúñiga, J. C., & Henrion, D. (2004a). Block Toeplitz Methods in Polynomial Matrix Computations. International symposium on mathematical theory of networks and systems. Belgium: Leuven.
  • 30
    • 85128540988 scopus 로고    scopus 로고
    • Zúñiga, J. C., & Henrion, D. (2004b). On the application of displacement structure methods to obtain null-spaces of polynomial matrices. IEEE conference on decision and control, Paradise Island, Bahamas.
  • 31
    • 79960717768 scopus 로고    scopus 로고
    • Zúñiga, J. C., & Henrion, D. (2005). Numerical stability of block Toeplitz algorithms in polynomial matrix computations. IFAC world congress on automatic control, Prague, Czech Republic.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.