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Volumn 247, Issue , 1996, Pages 185-202

An elementary proof of Barnett's theorem about the greatest common divisor of several univariate polynomials

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EID: 0030494904     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00099-2     Document Type: Article
Times cited : (13)

References (16)
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  • 3
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    • Degrees of greatest common divisors of invariant factors of two regular polynomial matrices
    • S. Barnett, Degrees of greatest common divisors of invariant factors of two regular polynomial matrices, Proc. Cambridge Philos. Soc. 66:241-245 (1970).
    • (1970) Proc. Cambridge Philos. Soc. , vol.66 , pp. 241-245
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  • 4
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    • S. Barnett, Greatest common divisor of two polynomials, Linear Algebra Appl. 3:7-9 (1970).
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  • 6
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    • Greatest common divisors for generalized Sylvester resultant matrices
    • S. Barnett, Greatest common divisors for generalized Sylvester resultant matrices, Linear and Multilinear Algebra 8:271-279 (1980).
    • (1980) Linear and Multilinear Algebra , vol.8 , pp. 271-279
    • Barnett, S.1
  • 7
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    • Division of generalized polynomials using the comrade matrix
    • S. Barnett, Division of generalized polynomials using the comrade matrix, Linear Algebra Appl. 60:159-175 (1984).
    • (1984) Linear Algebra Appl. , vol.60 , pp. 159-175
    • Barnett, S.1
  • 9
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    • Euclidean remainders for generalized polynomials
    • S. Barnett, Euclidean remainders for generalized polynomials, Linear Algebra Appl. 99:111-122 (1988).
    • (1988) Linear Algebra Appl. , vol.99 , pp. 111-122
    • Barnett, S.1
  • 10
    • 9144227037 scopus 로고
    • On the complexity of computing the greatest common divisor of several univariate polynomials
    • Springer-Verlag
    • L. González-Vega, On the complexity of computing the greatest common divisor of several univariate polynomials, in Latin'95: Theoretical Informatics, Lecture Notes in Comput. Sci. 911, Springer-Verlag, 1995, pp. 332-345.
    • (1995) Latin'95: Theoretical Informatics, Lecture Notes in Comput. Sci. , vol.911 , pp. 332-345
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  • 12
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    • Some computational problems and methods related to invariant factors and control theory
    • (J. Leech, Ed.), Pergamon
    • R. E. Kalman, Some computational problems and methods related to invariant factors and control theory, in Computational Problems in Abstract Algebra (J. Leech, Ed.), Pergamon, 1970, pp. 393-398.
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    • Kalman, R.E.1
  • 13
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    • Generalized polynomial remainder sequences
    • Springer-Verlag
    • R. Loos, Generalized polynomial remainder sequences, in Computer Algebra, Comnputing Supplementum 4, Springer-Verlag, 1982, pp. 115-138.
    • (1982) Computer Algebra, Comnputing Supplementum , vol.4 , pp. 115-138
    • Loos, R.1
  • 15
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    • Some applications of matrices in the theory of equations
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    • MacDuffee, C.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.