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Volumn 77, Issue 4, 2008, Pages 400-407

Heuristics to accelerate the Dixon resultant

Author keywords

Bezout; Dixon; Polynomial system; Resultant

Indexed keywords

DYNAMICAL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; POLYNOMIAL APPROXIMATION;

EID: 40649097746     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2007.04.007     Document Type: Article
Times cited : (26)

References (18)
  • 1
    • 40649090306 scopus 로고    scopus 로고
    • P. Bikker, On Bezout's method for computing the resultant. RISC-Linz Report Series, Johannes Kepler University, Linz, Austria, 1995.
    • P. Bikker, On Bezout's method for computing the resultant. RISC-Linz Report Series, Johannes Kepler University, Linz, Austria, 1995.
  • 2
    • 0040585014 scopus 로고
    • Memoire sur la theorie de l'octaedre articule
    • (English translation:
    • Bricard R. Memoire sur la theorie de l'octaedre articule. J. Math. Pures Appl. 3 (1897) 113-150. http://www.math.unm.edu/vageli/papers/bricard.pdf (English translation:
    • (1897) J. Math. Pures Appl. , vol.3 , pp. 113-150
    • Bricard, R.1
  • 3
    • 0034179026 scopus 로고    scopus 로고
    • Generalized resultants over unirational algebraic varieties
    • Buse L., Elkadi M., and Mourrain B. Generalized resultants over unirational algebraic varieties. J. Symbolic Comput. 29 (2000) 515-526
    • (2000) J. Symbolic Comput. , vol.29 , pp. 515-526
    • Buse, L.1    Elkadi, M.2    Mourrain, B.3
  • 5
    • 84960585591 scopus 로고
    • The eliminant of three quantics in two independent variables
    • Dixon A.L. The eliminant of three quantics in two independent variables. Proc. London Math. Soc. 6 (1908) 468-478
    • (1908) Proc. London Math. Soc. , vol.6 , pp. 468-478
    • Dixon, A.L.1
  • 6
    • 0000348667 scopus 로고
    • Efficient incremental algorithms for the sparse resultant and the mixed volume
    • Emiris I.Z., and Canny J.F. Efficient incremental algorithms for the sparse resultant and the mixed volume. J. Symbolic Comput. 20 2 (1995) 117-149
    • (1995) J. Symbolic Comput. , vol.20 , Issue.2 , pp. 117-149
    • Emiris, I.Z.1    Canny, J.F.2
  • 7
    • 40649129392 scopus 로고    scopus 로고
    • H. Hong, personal communication.
    • H. Hong, personal communication.
  • 8
    • 0029183514 scopus 로고
    • Comparison of various multivariate resultant formulations
    • Levelt A. (Ed). Montreal, Canada, ACM Press
    • Kapur D., and Saxena T. Comparison of various multivariate resultant formulations. In: Levelt A. (Ed). Proceedings of the ISSAC. Montreal, Canada (1995), ACM Press 187-194
    • (1995) Proceedings of the ISSAC , pp. 187-194
    • Kapur, D.1    Saxena, T.2
  • 10
    • 13844267814 scopus 로고    scopus 로고
    • Exact computation of the bifurcation point B4 of the logistic map and the Bailey-Broadhurst conjectures
    • Kotsireas I.S., and Karamanos K. Exact computation of the bifurcation point B4 of the logistic map and the Bailey-Broadhurst conjectures. Int. J. Bifurcat. Chaos 14 7 (2004) 2417-2423
    • (2004) Int. J. Bifurcat. Chaos , vol.14 , Issue.7 , pp. 2417-2423
    • Kotsireas, I.S.1    Karamanos, K.2
  • 11
    • 40649123451 scopus 로고    scopus 로고
    • R.H. Lewis, Computer Algebra System Fermat. (2007) www.bway.net/∼lewis/.
    • R.H. Lewis, Computer Algebra System Fermat. (2007) www.bway.net/∼lewis/.
  • 12
    • 40649128471 scopus 로고    scopus 로고
    • Using the Dixon resultant on big problems
    • Texas A&M University
    • Lewis R.H. Using the Dixon resultant on big problems. CBMS Conference. Texas A&M University (May 2002). http://www.math.tamu.edu/conferences/cbms/abs.html
    • (2002) CBMS Conference
    • Lewis, R.H.1
  • 14
    • 0036444256 scopus 로고    scopus 로고
    • Conic tangency equations arising from Apollonius problems in biochemistry
    • Lewis R.H., and Bridgett S. Conic tangency equations arising from Apollonius problems in biochemistry. Math. Comput. Simul. 61 2 (2003) 101-114
    • (2003) Math. Comput. Simul. , vol.61 , Issue.2 , pp. 101-114
    • Lewis, R.H.1    Bridgett, S.2
  • 15
    • 40649104490 scopus 로고    scopus 로고
    • R.H. Lewis, E.A. Coutsias, Algorithmic search for flexibility using resultants of polynomial systems. Proceedings of the Automatic Deduction in Geometry Conference, Pontevedra, Spain, submitted for publication.
    • R.H. Lewis, E.A. Coutsias, Algorithmic search for flexibility using resultants of polynomial systems. Proceedings of the Automatic Deduction in Geometry Conference, Pontevedra, Spain, submitted for publication.
  • 16
    • 0141503448 scopus 로고    scopus 로고
    • Solving the Selesnick-Burrus filter design equations using computational algebra and algebraic geometry
    • Little J. Solving the Selesnick-Burrus filter design equations using computational algebra and algebraic geometry. Adv. Appl. Math. 31 (2003) 463-500
    • (2003) Adv. Appl. Math. , vol.31 , pp. 463-500
    • Little, J.1
  • 17
    • 40649101118 scopus 로고    scopus 로고
    • D. Robertz, V. Gerdt, (2004) comparison of software systems at http://www.bway.net/∼lewis/fermat/gcdcomp.
    • D. Robertz, V. Gerdt, (2004) comparison of software systems at http://www.bway.net/∼lewis/fermat/gcdcomp.
  • 18
    • 0034580750 scopus 로고    scopus 로고
    • Numerical decomposition of the solution sets of polynomial systems into irreducible components
    • Sommese A., Verschelde J., and Wampler C. Numerical decomposition of the solution sets of polynomial systems into irreducible components. SINUM 38 6 (2001) 2022-2046
    • (2001) SINUM , vol.38 , Issue.6 , pp. 2022-2046
    • Sommese, A.1    Verschelde, J.2    Wampler, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.