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- W4301420164 abstract "Using subresultants, we modify a recent real-algebraic proof due to Eisermann of the Fundamental Theorem of Algebra ([FTA]) to obtain the following quantitative information: in order to prove the [FTA] for polynomials of degree $d$, the Intermediate Value Theorem ([IVT]) is requested to hold for real polynomials of degree at most $d^2$. We also explain that the classical proof due to Laplace requires [IVT] for real polynomials of exponential degree. These quantitative results highlight the difference in nature of these two proofs." @default.
- W4301420164 created "2022-10-05" @default.
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- W4301420164 date "2018-03-12" @default.
- W4301420164 modified "2023-09-24" @default.
- W4301420164 title "Quantitative Fundamental Theorem of Algebra" @default.
- W4301420164 doi "https://doi.org/10.48550/arxiv.1803.04358" @default.
- W4301420164 hasPublicationYear "2018" @default.
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