An elementary and constructive solution to hilbert's 17th problem for matrices

Proceedings of the American Mathematical Society

Volumn 136, Issue 1, 2008, Pages 73-76

  Hillar, Christopher J ^a   Nie, Jiawang ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67349262160     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-09068-5     Document Type: Article

References (7)

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3. D. Gondard, P. Ribenboim, Le 17e probleme de Hilbert pour les matrices, Bull. Sci. Math., 98 (1974) 49-56. MR0432613 (55:5600)
4. R. Horn and C. R. Johnson, Matrix analysis, Cambridge University Press, New York, 1985. MR832183 (87e:15001)
5. S. Lang, Algebra -3rd ed, Addison-Wesley Publishing Company, New York, 1993. MR0197234 (33:5416)
6. D. Marker. Model Theory: an Introduction, Springer Verlag, 2002. MR1924282 (2003e:03060)
7. C. Procesi, M. Schacher, A non-commutative real Nullstellensatz and Hilbert's 17th problem, Ann. of Math., 104 (1976) 395-406. MR0432612 (55:5599)