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Results tagged with matrices
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user 6456
12
votes
Accepted
What is the asymptotically fastest known algorithm for computing the nullspace of a matrix?
The exponent of computing a basis of the kernel is the same
as the exponent of matrix multiplication, see the
book Algebraic Complexity Theory by Bürgisser, Clausen & Shokrollahi.
So it can be done i …
- 2,958
8
votes
Accepted
What's the complexity to check whether a matrix is Diagonalizable?
You can do this in uniform NC, see:
G. Villard. Fast parallel algorithms for matrix reduction to canonical forms. AAECC 8:511-537, 1997. http://link.springer.com/article/10.1007%2Fs002000050089
- 2,958
24
votes
Bigger picture behind the choice of matrices in the Strassen algorithm
Sci. 7: 127-148, 1978) proves that there is only one algorithm to multiply $2 \times 2$-matrices with 7 multiplications up to equivalence. …
- 2,958