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Is this an SOS POLYNOMIAL?by karate
Tags: polynomial 
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#1
May2314, 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;



#2
May2314, 12:25 AM

P: 508

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.



#3
May2314, 12:31 AM

P: 6

thank you sir, so what do you think is this type of equation?



#4
May2314, 01:07 AM

P: 508

Is this an SOS POLYNOMIAL?
Edit: I would also characterize this polynomial as apparently not being particularly wellsuited for examination by analytic means. 


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