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Volumn 412, Issue 2-3, 2006, Pages 222-246

Computing greatest common divisors and squarefree decompositions through matrix methods: The parametric and approximate cases

Author keywords

Approximate gcd of polynomials; Barnett's method; Singular values

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; POLYNOMIALS;

EID: 27844599241     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.06.028     Document Type: Article
Times cited : (21)

References (16)
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    • S. Barnett Greatest common divisor of several polynomials Proc. Cambridge Philos. Soc. 1971 263 268
    • (1971) Proc. Cambridge Philos. Soc. , pp. 263-268
    • Barnett, S.1
  • 3
    • 84946063031 scopus 로고
    • An improved algorithm for computing the singular value decomposition
    • T.F. Chan An improved algorithm for computing the singular value decomposition ACM Trans. Math. Software 8 1982 72 83
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 72-83
    • Chan, T.F.1
  • 5
    • 0036657905 scopus 로고    scopus 로고
    • Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices
    • G. Diaz-Toca, and L. Gonzalez-Vega Barnett's theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices J. Symbolic Comput. 34 1 2002 59 81
    • (2002) J. Symbolic Comput. , vol.34 , Issue.1 , pp. 59-81
    • Diaz-Toca, G.1    Gonzalez-Vega, L.2
  • 8
    • 0030494904 scopus 로고    scopus 로고
    • An elementary proof of Barnett's theorem about the greatest common divisor of several univariate polynomial
    • L. Gonzalez-Vega An elementary proof of Barnett's theorem about the greatest common divisor of several univariate polynomial Linear Algebra Appl. 247 1996 185 202
    • (1996) Linear Algebra Appl. , vol.247 , pp. 185-202
    • Gonzalez-Vega, L.1
  • 11
    • 51249173165 scopus 로고
    • Fast parallel algorithm to compute the rank of a matrix over an arbitrary field
    • K. Mulmuley Fast parallel algorithm to compute the rank of a matrix over an arbitrary field Combinatorica 7 1987 101 104
    • (1987) Combinatorica , vol.7 , pp. 101-104
    • Mulmuley, K.1
  • 12
    • 0035878051 scopus 로고    scopus 로고
    • Computation of approximate polynomial GCDs and an extension
    • V. Pan Computation of approximate polynomial GCDs and an extension Inform. and Comput. 167 2001 71 85
    • (2001) Inform. and Comput. , vol.167 , pp. 71-85
    • Pan, V.1
  • 13
    • 0033147489 scopus 로고    scopus 로고
    • An algorithm for computing certified approximate GCD of n univariate polynomials
    • D. Rupprecht An algorithm for computing certified approximate GCD of n univariate polynomials J. Pure Appl. Algebra 139 1999 255 284
    • (1999) J. Pure Appl. Algebra , vol.139 , pp. 255-284
    • Rupprecht, D.1
  • 16
    • 4344652980 scopus 로고    scopus 로고
    • Approximate GCD of multivariate polynomials
    • L.H. Zhi, M.T. Noda, Approximate GCD of multivariate polynomials, in: Proceedings of ASCM 2000, 2000, pp. 9-18.
    • (2000) Proceedings of ASCM 2000 , pp. 9-18
    • Zhi, L.H.1    Noda, M.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.