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Advances in Geometry
Volumn 11, Issue 3, 2011, Pages 541-556
Fewnomial bounds for completely mixed polynomial systems
Author keywords

Fewnomials; sparse polynomial systems
Indexed keywords

EID: 79960963011     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/ADVGEOM.2011.019     Document Type: Article
Times cited : (13)
References (10)
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  • 2
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    • Bounds on the number of real solutions to polynomial equations
    • Art. ID rnm114, 7. MR2380007 (2008k:12002) Zbl 1129.14077
    • D. J. Bates, F. Bihan, F. Sottile, Bounds on the number of real solutions to polynomial equations. Int. Math. Res. Not. IMRN no. 23 (2007), Art. ID rnm114, 7. MR2380007 (2008k:12002) Zbl 1129.14077
    • (2007) Int. Math. Res. Not. IMRN , vol.23
    • Bates, D.J.1    Bihan, F.2    Sottile, F.3
  • 4
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    • On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces
    • Springer, MR2397935 (2009e:14105) Zbl 1132.14334
    • F. Bihan, J. M. Rojas, F. Sottile, On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces. In: Algorithms in algebraic geometry, volume 146 of IMA Vol. Math. Appl., 15-20, Springer 2008. MR2397935 (2009e:14105) Zbl 1132.14334
    • (2008) Algorithms in Algebraic Geometry, Volume 146 of IMA Vol. Math. Appl. , pp. 15-20
    • Bihan, F.1    Rojas, J.M.2    Sottile, F.3
  • 5
    • 47649108476 scopus 로고    scopus 로고
    • New fewnomial upper bounds from Gale dual polynomial systems
    • 573. MR2343138 (2008g:13038) Zbl 1148.14028
    • F. Bihan, F. Sottile, New fewnomial upper bounds from Gale dual polynomial systems. Mosc. Math. J. 7 (2007), 387-407, 573. MR2343138 (2008g:13038) Zbl 1148.14028
    • (2007) Mosc. Math. J. , vol.7 , pp. 387-407
    • Bihan, F.1    Sottile, F.2
  • 6
    • 47649116237 scopus 로고    scopus 로고
    • Gale duality for complete intersections
    • MR2427513 (2010g:14073) Zbl pre05298324
    • F. Bihan, F. Sottile, Gale duality for complete intersections. Ann. Inst. Fourier (Grenoble) 58 (2008), 877-891. MR2427513 (2010g:14073) Zbl pre05298324
    • (2008) Ann. Inst. Fourier (Grenoble) , vol.58 , pp. 877-891
    • Bihan, F.1    Sottile, F.2
  • 7
    • 0006753330 scopus 로고
    • MR0351738 (50 #4226) Zbl 0477.51001
    • R. Descartes, La géométrie. 1637. MR0351738 (50 #4226) Zbl 0477.51001
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    • Descartes, R.1
  • 8
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    • Fewnomials, volume 88 of translations of mathematical monographs
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    • Khovanskiǐ, A.G.1
  • 10
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    • Counting Real Connected Components of Trinomial Curve Intersections and m-Nomial Hypersurfaces
    • DOI 10.1007/s00454-003-2834-8
    • T.-Y. Li, J. M. Rojas, X. Wang, Counting real connected components of trinomial curve intersections and m-nomial hypersurfaces. Discrete Comput. Geom. 30 (2003), 379-414. MR2002964 (2004g:14067) Zbl 1059.14071 (Pubitemid 37273150)
    • (2003) Discrete and Computational Geometry , vol.30 , Issue.3 , pp. 379-414
    • Li, T.-Y.1    Maurice Rojas, J.2    Wang, X.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.