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Volumn 3, Issue , 2003, Pages

Prime factorization of N-D polynomial matrices

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; POLYNOMIALS; SET THEORY;

EID: 0038758936     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (3)

References (18)
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    • Youla, D.C.1    Gnavi, G.2
  • 3
    • 0035889741 scopus 로고    scopus 로고
    • A generalization of Serre's conjecture and some related issues
    • Nov.
    • Z. Lin and N. Bose, "A generalization of Serre's conjecture and some related issues," Linear Algebra and its Applications, vol. 338, pp. 125-138, Nov. 2001.
    • (2001) Linear Algebra and its Applications , vol.338 , pp. 125-138
    • Lin, Z.1    Bose, N.2
  • 4
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    • On syzygy modules for polynomial matrices
    • Nov.
    • Z. Lin, "On syzygy modules for polynomial matrices," Linear Algebra and its Applications, vol. 298, pp. 73-86, Nov. 1999.
    • (1999) Linear Algebra and its Applications , vol.298 , pp. 73-86
    • Lin, Z.1
  • 5
    • 0035303501 scopus 로고    scopus 로고
    • Further results on n-D polynomial matrix factorizations
    • Apr.
    • Z. Lin, "Further results on n-D polynomial matrix factorizations," Journal of multidimensional systems and signal processing, vol. 12, pp. 199-208, Apr. 2001.
    • (2001) Journal of Multidimensional Systems and Signal Processing , vol.12 , pp. 199-208
    • Lin, Z.1
  • 7
    • 0033281260 scopus 로고    scopus 로고
    • Multidimensional FIR filter bank design using Gröbner bases
    • Nov.
    • C. Charoenlarpparut and N. K. Bose, "Multidimensional FIR filter bank design using Gröbner bases," IEEE Trans. Circuits Syst.-II4, vol. 46, pp. 1475-1486, Nov. 1999.
    • (1999) IEEE Trans. Circuits Syst.-II4 , vol.46 , pp. 1475-1486
    • Charoenlarpparut, C.1    Bose, N.K.2
  • 8
    • 0020192573 scopus 로고
    • Polynomial matrix primitive factorization over arbitrary coefficient field and related results
    • Oct.
    • J. P. Guiver and N. K. Bose, "Polynomial matrix primitive factorization over arbitrary coefficient field and related results," IEEE Trans. Circuits and Systems, vol. 29, pp. 649-657, Oct. 1982.
    • (1982) IEEE Trans. Circuits and Systems , vol.29 , pp. 649-657
    • Guiver, J.P.1    Bose, N.K.2
  • 9
    • 0017501916 scopus 로고
    • New results in 2-D system theory, part I: 2-D polynomial matrices, factorization and coprimeness
    • June
    • M. Morf, B. C. Levy, and S. Y. Kung, "New results in 2-D system theory, Part I: 2-D polynomial matrices, factorization and coprimeness," Proc. IEEE, vol. 65, pp. 861-872, June 1977.
    • (1977) Proc. IEEE , vol.65 , pp. 861-872
    • Morf, M.1    Levy, B.C.2    Kung, S.Y.3
  • 10
    • 84947475533 scopus 로고    scopus 로고
    • Solving bose conjecture on linear multidimensional systems
    • September
    • J. F. Pommaret, "Solving Bose Conjecture on Linear Multidimensional Systems," Proc. European Control Conference, pp. 1853-1855, September 2001.
    • (2001) Proc. European Control Conference , pp. 1853-1855
    • Pommaret, J.F.1
  • 12
    • 0001176453 scopus 로고
    • Projective modules over a polynomial ring are free
    • A. A. Suslin, "Projective modules over a polynomial ring are free," Soviet Math. Dokl., vol. 17, pp. 1160-1164, 1976.
    • (1976) Soviet Math. Dokl. , vol.17 , pp. 1160-1164
    • Suslin, A.A.1
  • 13
    • 0021442133 scopus 로고
    • The Quillen-Suslin theorem and the structure of n-dimensional elementary polynomial matrices
    • June
    • D. C. Youla and P. F. Pickel, "The Quillen-Suslin Theorem and the structure of n-dimensional elementary polynomial matrices," IEEE Trans. Circuits and Systems, vol. CAS-31, pp. 513-518, June 1984.
    • (1984) IEEE Trans. Circuits and Systems , vol.CAS-31 , pp. 513-518
    • Youla, D.C.1    Pickel, P.F.2
  • 14
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    • Introduction to commutative algebra with a view towards algebraic geometry
    • Springer-Verlag
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    • (1995) Graduate Texts in Mathematics
    • Eisenbud, D.1
  • 15
    • 0002803133 scopus 로고
    • Gröbner bases - An algorithmic method in polynomial ideal theory
    • N. K. Bose, ed., ch. 6, Dordrecht: D. Reidel
    • B. Buchberger, "Gröbner bases - an algorithmic method in polynomial ideal theory," in Multidimensional systems theory (N. K. Bose, ed.), ch. 6, pp. 184-232, Dordrecht: D. Reidel, 1985.
    • (1985) Multidimensional Systems Theory , pp. 184-232
    • Buchberger, B.1
  • 16
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    • (1992) Journal of Algebra , vol.145 , Issue.1 , pp. 231-239
    • Logar, A.1    Sturmfels, B.2
  • 17
    • 0000533389 scopus 로고
    • An algorithmic proof of Suslin's stability theorem for polynomial rings
    • H. Park and C. Woodburn, "An algorithmic proof of Suslin's stability theorem for polynomial rings," Journal of Algebra, vol. 178, pp. 277-298, 1995.
    • (1995) Journal of Algebra , vol.178 , pp. 277-298
    • Park, H.1    Woodburn, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.