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Volumn 45, Issue 4, 2010, Pages 434-442

On the minimum of a positive polynomial over the standard simplex

Author keywords

Optimization on polyhedra; Positivity of polynomials

Indexed keywords


EID: 76749145005     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2010.01.001     Document Type: Article
Times cited : (20)

References (15)
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  • 5
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    • de Loera, J.1    Santos, F.2
  • 6
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    • The DMM bound: Multivariate (aggregate) separation bounds
    • Manuscript
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    • (2009)
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  • 7
    • 84955599076 scopus 로고
    • Using symmetric functions to describe the solution set of a zero dimensional ideal
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    • González-Vega L., and Trujillo F. Using symmetric functions to describe the solution set of a zero dimensional ideal. Applied Algebra, Algebraic Algorithms and Error-correcting Codes. Paris, 1995. Lecture Notes in Comput. Sci. vol. 948 (1995), Springer, Berlin 232-247
    • (1995) Lecture Notes in Comput. Sci. , vol.948 , pp. 232-247
    • González-Vega, L.1    Trujillo, F.2
  • 8
    • 77952010731 scopus 로고    scopus 로고
    • On sign conditions over real multivariate polynomials
    • in press doi:10.1007/s00454-009-9200-4
    • Jeronimo, G., Perrucci, D., Sabia, J., On sign conditions over real multivariate polynomials. Discrete Comput. Geom, in press (doi:10.1007/s00454-009-9200-4).
    • Discrete Comput. Geom
    • Jeronimo, G.1    Perrucci, D.2    Sabia, J.3
  • 11
    • 0001276275 scopus 로고    scopus 로고
    • A new bound for Pólya's theorem with applications to polynomials positive on polyhedra. Effective methods in algebraic geometry (Bath, 2000)
    • Powers V., and Reznick B. A new bound for Pólya's theorem with applications to polynomials positive on polyhedra. Effective methods in algebraic geometry (Bath, 2000). J. Pure Appl. Algebra 164 1-2 (2001) 221-229
    • (2001) J. Pure Appl. Algebra , vol.164 , Issue.1-2 , pp. 221-229
    • Powers, V.1    Reznick, B.2
  • 13
    • 0033131339 scopus 로고    scopus 로고
    • Solving zero-dimensional systems through the rational univariate representation
    • Rouillier F. Solving zero-dimensional systems through the rational univariate representation. Appl. Algebra Eng. Commun. Comput. 9 5 (1999) 433-461
    • (1999) Appl. Algebra Eng. Commun. Comput. , vol.9 , Issue.5 , pp. 433-461
    • Rouillier, F.1
  • 14
    • 3242670924 scopus 로고    scopus 로고
    • On the complexity of Schmüdgen's positivstellensatz
    • Schweighofer M. On the complexity of Schmüdgen's positivstellensatz. J. Complexity 20 4 (2004) 529-543
    • (2004) J. Complexity , vol.20 , Issue.4 , pp. 529-543
    • Schweighofer, M.1
  • 15
    • 0002508739 scopus 로고
    • Effective Łojasiewicz inequalities in semialgebraic geometry
    • Solernó P. Effective Łojasiewicz inequalities in semialgebraic geometry. Appl. Algebra Engrg. Comm. Comput. 2 1 (1991) 2-14
    • (1991) Appl. Algebra Engrg. Comm. Comput. , vol.2 , Issue.1 , pp. 2-14
    • Solernó, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.