A new bound for Pólya's Theorem with applications to polynomials positive on polyhedra

Journal of Pure and Applied Algebra

Volumn 164, Issue 1-2, 2001, Pages 221-229

  Powers, Victoria ^a   Reznick, Bruce ^b  

^a EMORY UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

26C99; 26D99; 52B99; Primary 14Q99; Secondary 14P10

Indexed keywords

EID: 0001276275     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00155-9     Document Type: Article

References (10)

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3. J.A. de Loera, F. Santos, Erratum to "an effective version of Pólya's theorem on positive definite forms" [J. Pure appl. algebra 108 (1996) 231-240], J. Pure Appl. Algebra 155 (2000) 309-310.
4. Handelman D. Representing polynomials by positive linear functions on compact convex polyhedra. Pacific J. Math. 132:1988;35-62.
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7. G. Pólya, Über positive Darstellung von Polynomen Vierteljschr, Naturforsch. Ges. Zürich 73 (1928) 141-145, in: R.P. Boas (Ed.), Collected Papers Vol. 2, MIT Press, Cambridge, MA, 1974, pp. 309-313.
8. G. Pólya, Über positive Darstellung von Polynomen Vierteljschr, Naturforsch. Ges. Zürich 73 (1928) 141-145, in: R.P. Boas (Ed.), Collected Papers Vol. 2, MIT Press, Cambridge, MA, 1974, pp. 309-313.
9. V. Powers, B. Reznick, Polynomials that are positive on an interval, Trans. Amer. Math. Soc. 352 (2000) 4677-4692.
10. M. Schweighofer, An algorithmic approach to Schmüdgen's Positivstellensatz, preprint.