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Volumn 42, Issue 7, 2007, Pages 733-750

Output-sensitive modular algorithms for polynomial matrix normal forms

Author keywords

Matrices; Modular algorithm; Popov form; Row reduced form; Weak Popov form

Indexed keywords


EID: 34250663510     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2007.03.001     Document Type: Article
Times cited : (7)

References (22)
  • 2
    • 34250677453 scopus 로고    scopus 로고
    • Abramov, S., Bronstein, M., Linear algebra for skew-polynomial matrices. Technical Report RR-4420, INRIA. 2002
  • 3
    • 84968497774 scopus 로고
    • Sylvester's identity and multistep integer-preserving Gaussian elimination
    • Bareiss E. Sylvester's identity and multistep integer-preserving Gaussian elimination. Math. Comp. 22 (1968) 565-578
    • (1968) Math. Comp. , vol.22 , pp. 565-578
    • Bareiss, E.1
  • 4
    • 0005388974 scopus 로고    scopus 로고
    • Effective computation of rational approximants and interpolants
    • Beckermann B., and Labahn G. Effective computation of rational approximants and interpolants. Reliable Computing 6 (2000) 365-390
    • (2000) Reliable Computing , vol.6 , pp. 365-390
    • Beckermann, B.1    Labahn, G.2
  • 5
    • 34250663295 scopus 로고    scopus 로고
    • Beckermann, B., Labahn, G., On the fraction-free computation of column-reduced matrix polynomials via FFFG. Technical Report ANO436, Laboratoire ANO, University of Lille, 2001. Available at http://ano.univ-lille1.fr/pub/2001/ano436.ps.Z
  • 6
    • 0030834915 scopus 로고    scopus 로고
    • Recursiveness in matrix rational interpolation problems
    • Beckermann B., and Labahn G. Recursiveness in matrix rational interpolation problems. J. Comput. Appl. Math. 77 (1997) 5-34
    • (1997) J. Comput. Appl. Math. , vol.77 , pp. 5-34
    • Beckermann, B.1    Labahn, G.2
  • 7
    • 0034353665 scopus 로고    scopus 로고
    • Fraction-free computation of matrix rational interpolants and matrix GCDs
    • Beckermann B., and Labahn G. Fraction-free computation of matrix rational interpolants and matrix GCDs. SIAM J. Matrix Anal. and Appl. 22 1 (2000) 114-144
    • (2000) SIAM J. Matrix Anal. and Appl. , vol.22 , Issue.1 , pp. 114-144
    • Beckermann, B.1    Labahn, G.2
  • 10
    • 32644483322 scopus 로고    scopus 로고
    • Fraction-free row reduction of matrices of Ore polynomials
    • Beckermann B., Cheng H., and Labahn G. Fraction-free row reduction of matrices of Ore polynomials. J. Symbolic Comput. 41 5 (2006) 513-543
    • (2006) J. Symbolic Comput. , vol.41 , Issue.5 , pp. 513-543
    • Beckermann, B.1    Cheng, H.2    Labahn, G.3
  • 11
    • 33645972548 scopus 로고    scopus 로고
    • Normal forms for general polynomial matrices
    • Beckermann B., Labahn G., and Villard G. Normal forms for general polynomial matrices. J. Symbolic Comput. 41 6 (2006) 708-737
    • (2006) J. Symbolic Comput. , vol.41 , Issue.6 , pp. 708-737
    • Beckermann, B.1    Labahn, G.2    Villard, G.3
  • 12
    • 0015143623 scopus 로고
    • On Euclid's algorithm and the computation of polynomial greatest common divisors
    • Brown W.S. On Euclid's algorithm and the computation of polynomial greatest common divisors. J. ACM 18 4 (1971) 478-504
    • (1971) J. ACM , vol.18 , Issue.4 , pp. 478-504
    • Brown, W.S.1
  • 14
    • 34250650291 scopus 로고    scopus 로고
    • Cheng, H., Algorithms for Normal Forms for Matrices of Polynomials and Ore Polynomials. Ph.D. Thesis. University of Waterloo, 2003
  • 20
    • 0038405094 scopus 로고    scopus 로고
    • On lattice reduction for polynomial matrices
    • Mulders T., and Storjohann A. On lattice reduction for polynomial matrices. J. Symbolic Comput. 35 4 (2003) 377-401
    • (2003) J. Symbolic Comput. , vol.35 , Issue.4 , pp. 377-401
    • Mulders, T.1    Storjohann, A.2
  • 21
    • 34250655537 scopus 로고    scopus 로고
    • Storjohann, A., Algorithms for Matrix Canonical Forms. Ph.D. Thesis. Department of Computer Science, Swiss Federal Institute of Technology-ETH, 2000


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.