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Results tagged with matrices
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user 51252
2
votes
Accepted
Compiling einstein sums optimally
It seems that the general problem of finding the optimal contraction order is NP-hard [1]. A recent paper on approximately optimizing the contraction order, and containing relevant references, is [2]. …
- 849
10
votes
Accepted
The complexity of the permanent of low rank matrices
The paper "Two algorithmic results for the traveling salesman problem" by Barvinok describes an $n^{\mathcal{O}(m)}$ algorithm for computing the permanent of a rank-m matrix. I don't know whether this …
- 849
3
votes
Accepted
Problem conditions to use Laplacian solvers
It's a good question. You can use a Laplacian solver if $A$ is symmetric and diagonally semi-dominant (SDD). This is the subject of Theorem 9.2 in your reference book from Vishnoi. A good exposition o …
- 849