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Results tagged with ag.algebraic-geometry
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user 88812
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
0
answers
69
views
Doubt on the best low rank approximation of a symmetric tensor
I have a matrix $M\in\mathbb{R}^{n\times k}$, with $k<n$ whose columns $m_i$ are linearly independent.
So we have $M := [m_1|..|m_k]$.
From the columns of $M$ I can define the following matrix
$$
C …
7
votes
0
answers
2k
views
Why is solving polynomial systems NP hard?
Solving polynomial systems is known to be a NP hard problem; however it is not completely clear to me where this complexity comes from.
My interest is in the case of systems of multivariate polynomi …
15
votes
0
answers
717
views
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 …