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Computing the dimension of a semi-algebraic set

✍ Scribed by S. Basu; R. Pollack; M.-F. Roy


Publisher
Springer US
Year
2006
Tongue
English
Weight
479 KB
Volume
134
Category
Article
ISSN
1573-8795

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Complexity of Computing the Local Dimens
✍ Nicolai Vorobjov πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 521 KB

The paper describes several algorithms related to a problem of computing the local dimension of a semialgebraic set. Let a semialgebraic set V be defined by a system of k inequalities of the form f β‰₯ 0 with f ∈ R[X 1 , . . . , Xn], deg(f ) < d, and x ∈ V . An algorithm is constructed for computing t