Deciding whether a given polynomial is globally positive

Asked Jun 26 '18 at 23:33

Active Jun 26 '18 at 23:43

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In general, is there any efficient approach to determine if a polynomial over $\mathbb{R}$ is positive?

The only constraint here is that the polynomial can only have a maximum of 5 or 10 variables. If so, there is an available tool to use, maybe something that you tried before?

edited Jun 26 '18 at 23:43

Rodrigo de Azevedo

asked Jun 26 '18 at 23:33

XRow

By positive, you mean $f(x)$ is positive for all $x\in\mathbb R^n$? – Jack M Jun 26 '18 at 23:40
1

Take a look at this. – Rodrigo de Azevedo Jun 26 '18 at 23:41
Here is a rather fortunate example. – Rodrigo de Azevedo Jun 27 '18 at 00:12

Deciding whether a given polynomial is globally positive

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