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emiri's algorithm polynomial ring representation

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http://www.jhuapl.edu/techdigest/TD/td2804/Williams.pdf

/sci/ I feel like i've been lied to in my engineering classes. Apparently you don't need to guess and check to find polynomial roots. This algorithm can reduce the problem to finding the eigenvalues of a matrix representing a ring, what other methods are there of doing this? Does anyone know about emiris' algorithm? Where can I find out more about this?
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>>8735740
wolfram alpha is pretty cool
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>>8735748
how does wolfram alpha tell me more about polynomial root finding algorithms?
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UGLY GRANNY WHORE
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>>8735740
this is now a mummy thread.
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Doesn't Descartes rule for linear divisors let you do the same thing? Though I guess that is just a way to narrow down cases for guessing and checking.
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