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On the minimum of a polynomial function on a basic closed semialgebraic set and applications
Abstract : We give an explicit upper bound for the algebraic degree and an explicit lower bound for the absolute value of the minimum of a polynomial function on a compact connected component of a basic closed semialgebraic set when this minimum is not zero. We also present extensions of these results to non-compact situations. As an application, we obtain a lower bound for the separation of two disjoint connected components of basic closed semialgebraic sets, when at least one of them is compact.
Cited literature [20 references]
https://hal.inria.fr/hal-00776280
Contributor : Elias Tsigaridas <>
Submitted on : Sunday, November 2, 2014 - 1:11:18 AM
Last modification on : Friday, January 8, 2021 - 5:42:02 PM
Long-term archiving on: : Tuesday, February 3, 2015 - 4:05:35 PM
Contributor : Elias Tsigaridas <>
Submitted on : Sunday, November 2, 2014 - 1:11:18 AM
Last modification on : Friday, January 8, 2021 - 5:42:02 PM
Long-term archiving on: : Tuesday, February 3, 2015 - 4:05:35 PM
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MinDistance_revised.pdf
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