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Volumn 51, Issue 12, 2006, Pages 1817-1830

Approximate greatest common divisor of many polynomials, generalised resultants, and strength of approximation

Author keywords

Approximate computations; Greatest common divisor; Polynomials

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; OPTIMIZATION; PROBLEM SOLVING;

EID: 33747069646     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.01.010     Document Type: Article
Times cited : (30)

References (13)
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    • Mitrouli, M.1    Karcanias, N.2
  • 4
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    • A matrix pencil based numerical method for the computation of the GCD of polynomials
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    • (1994) IEEE Trans. Autom. Cont. , vol.39 , pp. 977-981
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    • (1991) Jour. of Comp. and Appl. Math. , vol.38 , pp. 335-351
    • Noda, M.1    Sasaki, T.2
  • 6
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    • The singular value decomposition for polynomial systems
    • Quebec, Canada
    • Quebec, Canada. Corless R.M., Gianni P.M., Trager B.M., and Watt S.M. The singular value decomposition for polynomial systems. Proc. ISAAC '95 (1995) 195-207
    • (1995) Proc. ISAAC '95 , pp. 195-207
    • Corless, R.M.1    Gianni, P.M.2    Trager, B.M.3    Watt, S.M.4
  • 7
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    • Approximate polynomial greatest common divisors and nearest singular polynomials
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    • (1996) Proc. ISSAC'96 , pp. 35-43
    • Karmarkar, N.1    Laksmann, Y.N.2
  • 8
    • 0032514338 scopus 로고    scopus 로고
    • Optimization strategies for the approximate gcd problem
    • ACM Press, Maui, Hawaii
    • Chin P., Corless R.M., and Corliss G. Optimization strategies for the approximate gcd problem. Proc. ISSAC'98 (1998), ACM Press, Maui, Hawaii 228-235
    • (1998) Proc. ISSAC'98 , pp. 228-235
    • Chin, P.1    Corless, R.M.2    Corliss, G.3
  • 9
    • 0033147489 scopus 로고    scopus 로고
    • An algorithm for computing certified approximate GCD of n univariate polynomials
    • Rupprecht D. An algorithm for computing certified approximate GCD of n univariate polynomials. Journ. of Pure and Applied Algebra 139 1-3 (1999) 255-2848
    • (1999) Journ. of Pure and Applied Algebra , vol.139 , Issue.1-3 , pp. 255-2848
    • Rupprecht, D.1
  • 10
    • 0345689664 scopus 로고    scopus 로고
    • Resultant properies of the GCD of many polynomials and a factorisation representation of GCD
    • Fatouros S., and Karcanias N. Resultant properies of the GCD of many polynomials and a factorisation representation of GCD. Int. Journ. Control 76 16 (2003) 1666-1683
    • (2003) Int. Journ. Control , vol.76 , Issue.16 , pp. 1666-1683
    • Fatouros, S.1    Karcanias, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.