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Results tagged with polynomials
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user 88812
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
7
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Why is solving polynomial systems NP hard?
My interest is in the case of systems of multivariate polynomials over the real field. … Intuitively, I can imagine that part of the problem consists in the counting of the roots of the system: Bezout bound states that the number of roots is bounded by the product of the degrees of the polynomials …
15
votes
0
answers
717
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Solving polynomial systems with homotopy. Where is the bottleneck?
I have a polynomial system with $n+k$ unknowns ($n+k$ can be greater than 8), that is known to have a limited number of isolated solutions.
I want to solve this system numerically, but if I plug it …