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Results tagged with positivity
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user 104633
1
vote
Accepted
Polynomials that preserve nonnegativity
The result is known as the Pólya-Szegö theorem:
Note that $\Sigma = \Sigma_n := \{ p \in \mathbb{R}[x] \mid p~\text{SOS}\}$, in which 'SOS' stands for sum of squares.
A reference for the result: ht …
- 1,719
20
votes
Is this proof of Perron's theorem correct, and if so is it original?
IMHO, the demonstration is worthwhile because it is accessible to advanced undergraduate students who have taken a second course in linear algebra and because positivity is instrumental in the demonstration … what you posted to the The American Mathematical Monthly or The College Mathematics Journal as a note — if it is not successful those journals, then you can certainly try some research journals (e.g., Positivity …
- 1,719