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Volumn 35, Issue 3, 2003, Pages 281-292

An elementary approach to subresultants theory

Author keywords

Polynomial determinant; Subresultant sequence

Indexed keywords


EID: 0037339296     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0747-7171(02)00135-9     Document Type: Review
Times cited : (27)

References (22)
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  • 2
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  • 3
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    • A chain rule for subresultants
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    • Cheng, C.C.1
  • 5
    • 84945709818 scopus 로고
    • Subresultants and reduced polynomial remainder sequences
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    • (1967) J. ACM , vol.14 , pp. 128-142
    • Collins, G.E.1
  • 6
    • 0034639376 scopus 로고    scopus 로고
    • Optimization of the subresultant algorithm
    • Ducos, L., 2000. Optimization of the subresultant algorithm. J. Pure Appl. Abgebra 145, 149-163.
    • (2000) J. Pure Appl. Abgebra , vol.145 , pp. 149-163
    • Ducos, L.1
  • 8
    • 84896749917 scopus 로고    scopus 로고
    • Subresultants revisited
    • Proceedings of Latin 2000: Theoretical Informatics, Punta del Este, Uruguay, Springer Lecture Notes in Computer Science, 1776. Heidelberg
    • von zur Gathen, J., Luking, T., 2000. Subresultants revisited. Proceedings of Latin 2000: Theoretical Informatics, Punta del Este, Uruguay, Springer Lecture Notes in Computer Science, vol. 1776. Heidelberg, pp. 318-342.
    • (2000) , pp. 318-342
    • von zur Gathen, J.1    Luking, T.2
  • 9
    • 0001173498 scopus 로고
    • Spécialisation de la suite de Sturm et sous-résultants, RAIRO Inform
    • González-Vega, L., Lombardi, H., Recio, T., Roy, M.-F., 1990. Spécialisation de la suite de Sturm et sous-résultants, RAIRO Inform. Théor. Appl. 24 (6), 561-588.
    • (1990) Théor. Appl. , vol.24 , Issue.6 , pp. 561-588
    • González-Vega, L.1    Lombardi, H.2    Recio, T.3    Roy, M.-F.4
  • 11
    • 51249194297 scopus 로고
    • Eine verallgemeinerung des sturmschen wurzelzahlverfahrens
    • Habicht, W., 1948. Eine verallgemeinerung des sturmschen wurzelzahlverfahrens. Commun. Math. Halvetici 21, 99-116.
    • (1948) Commun. Math. Halvetici , vol.21 , pp. 99-116
    • Habicht, W.1
  • 12
    • 0029715613 scopus 로고    scopus 로고
    • The Habicht approach to subresultants
    • Ho, C.J., Yap, C.K., 1996. The Habicht approach to subresultants. J. Symb. Comput. 21 (1), 1-14.
    • (1996) J. Symb. Comput. , vol.21 , Issue.1 , pp. 1-14
    • Ho, C.J.1    Yap, C.K.2
  • 13
    • 0031123228 scopus 로고    scopus 로고
    • Subresultants under composition
    • Hong, H., 1997. Subresultants under composition. J. Symb. Comput. 23 (4), 355-365.
    • (1997) J. Symb. Comput. , vol.23 , Issue.4 , pp. 355-365
    • Hong, H.1
  • 15
    • 0029704143 scopus 로고    scopus 로고
    • Cauchy index computation
    • Lickteig, T., Roy, M.-F., 1996a. Cauchy index computation. Calcolo 33, 337-351.
    • (1996) Calcolo , vol.33 , pp. 337-351
    • Lickteig, T.1    Roy, M.-F.2
  • 16
    • 0030524809 scopus 로고    scopus 로고
    • Semi-algebraic complexity of quotients and sign determination of remainders
    • Special issue for the Foundations of Computational Mathematics Conference, Rio de Janeiro, 1997
    • Lickteig, T., Roy, M.-F., 1996b. Semi-algebraic complexity of quotients and sign determination of remainders. Special issue for the Foundations of Computational Mathematics Conference, Rio de Janeiro, 1997. J. Complexity 12 (4), 545-571.
    • (1996) J. Complexity , vol.12 , Issue.4 , pp. 545-571
    • Lickteig, T.1    Roy, M.-F.2
  • 17
    • 0000605515 scopus 로고    scopus 로고
    • Sylvester-Habicht sequences and fast Cauchy index computation
    • Lickteig, T., Roy, M.-F., 2001. Sylvester-Habicht sequences and fast Cauchy index computation. J. Symb. Comput. 31 (3), 315-341.
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    • Lickteig, T.1    Roy, M.-F.2
  • 20
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    • Asymptotically fast computation of subresultants
    • (Kihei, Hi), ACM, New York
    • Reischert, D., 1997. Asymptotically fast computation of subresultants. In: Proceedings of ISSAC' 97 (Kihei, Hi), ACM, New York, pp. 233-240.
    • (1997) Proceedings of ISSAC' 97 , pp. 233-240
    • Reischert, D.1
  • 21
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    • Mémoire sur la résolution des équations numériques
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    • Sturm, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.