Geodesic
Representations of non-negative polynomials via KKT ideals
Dang Tuan Hiep1
1 Department of Mathematics University of Dalat 01 Phu Dong Thien Vuong Da Lat, Vietnam and Dipartimento di Matematica Università degli Studi di Bari Aldo Moro Via E. Orabona, 4 70125 Bari, Italy
Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 101-109

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper studies the representation of a non-negative polynomial $f$ on a non-compact semi-algebraic set $K$ modulo its KKT (Karush–Kuhn–Tucker) ideal. Under the assumption that $f$ satisfies the boundary Hessian conditions (BHC) at each zero of $f$ in $K$, we show that $f$ can be represented as a sum of squares (SOS) of real polynomials modulo its KKT ideal if $f\ge 0$ on $K$.
DOI : 10.4064/ap102-2-1
Keywords: paper studies representation non negative polynomial non compact semi algebraic set modulo its kkt karush kuhn tucker ideal under assumption satisfies boundary hessian conditions bhc each zero represented sum squares sos real polynomials modulo its kkt ideal

Dang Tuan Hiep 1

1 Department of Mathematics University of Dalat 01 Phu Dong Thien Vuong Da Lat, Vietnam and Dipartimento di Matematica Università degli Studi di Bari Aldo Moro Via E. Orabona, 4 70125 Bari, Italy 
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Dang Tuan Hiep. Representations of non-negative polynomials via KKT ideals. Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 101-109. doi: 10.4064/ap102-2-1

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