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- W2595539135 abstract "Let f be a polynomial (or polynomial system) with all simple roots. The root separation of f is the minimum of the pair-wise distances between the complex roots. A root separation bound is a lower bound on the root separation. Finding a root separation bound is a fundamental problem, arising in numerous disciplines. We present two new root separation bounds: one univariate bound, and one multivariate bound. The new bounds improve on the old bounds in two ways: The new bounds are usually significantly bigger (hence better) than the previous bounds. The new bounds scale correctly, unlike the previous bounds." @default.
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- W2595539135 date "2018-01-01" @default.
- W2595539135 modified "2023-10-09" @default.
- W2595539135 title "Improving root separation bounds" @default.
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- W2595539135 doi "https://doi.org/10.1016/j.jsc.2017.03.001" @default.
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