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Is this an SOS POLYNOMIAL?

by karate
Tags: polynomial
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karate
#1
May23-14, 12:04 AM
P: 6
F = -0.2662*x^6 + 48.19*x^5 - 3424.2*x^4 + 121708*x^3 - 2*e^6*x^2 + 2*e^7*x - 6*e^7;
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gopher_p
#2
May23-14, 12:25 AM
P: 462
As mentioned in your other thread, ##\lim_{x\rightarrow\pm\infty}F(x)=-\infty##. So ##F## is sometimes (you could even say way more often than not) negative. Since a sum of squares is always nonnegative, your polynomial is not a sum of squares.
karate
#3
May23-14, 12:31 AM
P: 6
thank you sir, so what do you think is this type of equation?

gopher_p
#4
May23-14, 01:07 AM
P: 462
Is this an SOS POLYNOMIAL?

Quote Quote by karate View Post
thank you sir, so what do you think is this type of equation?
Well, first off the thing that (I think) you're asking me about is a function, not an equation. Secondly, I would characterize it as a polynomial of degree six.

Edit: I would also characterize this polynomial as apparently not being particularly well-suited for examination by analytic means.


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