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  • On an extension of Pólyaʼs Positivstellensatz
    Dickinson, Peter J. C., 1985- ; Povh, Janez, 1973-
    In this paper we provide a generalization of a Positivstellensatz by Pólya [Pólya in Naturforsch Ges Zürich 73:141-145 1928]. We show that if a homogeneous polynomial is positive over the ... intersection of the non-negative orthant and a given basic semialgebraic cone (excluding the origin), then there exists a "Pólya type" certificate for non-negativity. The proof of this result uses the original Positivstellensatz by Pólya, and a Positivstellensatz by Putinar and Vasilescu [Putinar and Vasilescu C R Acad Sci Ser I Math 328(7) 1999].
    Vir: Journal of global optimization. - ISSN 0925-5001 (Vol. 61, iss. 4, 2015, str. 615-625)
    Vrsta gradiva - članek, sestavni del
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 2048330771
    DOI
vir: Journal of global optimization. - ISSN 0925-5001 (Vol. 61, iss. 4, 2015, str. 615-625)
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