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Math Help - What on earth is a Subresultant?

  1. #1
    Senior Member slevvio's Avatar
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    What on earth is a Subresultant?

    I am investigating polynomial roots, for example a quartic can have several root configurations (1,1,1,1),(2,1,1),(2,2),(3,1),(4)

    I have used resultants and determinants to study when we get repeated roots, but for example in the (2,2) case when there are 2 repeated roots it is a bit more complicated, I was pointed in the direction of thinking about subresultants, but I can't even find a definition of a subresultant anywhere! Mathematica can calculate them, but MathWorld doesn't explain what a subresultant actually is. Does anyone know?

    Thanks
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  2. #2
    A Plied Mathematician
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    I don't really have an idea myself. However, here are some links that might help:

    Paper on subresultants.

    From the Mathematica Documentation Center

    Resultants and Subresultants

    Check out this book on Amazon, and search within for subresultants.

    Subresultants appear to factor largely in symbolic algebra.

    Good luck!
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  3. #3
    Senior Member slevvio's Avatar
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    thanks!
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