Computational complexity of best primary evector algorithm?

[tdewolf]

Hello everyone,

I'm doing some research looking at the computational complexity of calculating the primary eigenvector of large (at least 20,000 x 20,000) matricies, and as I scoured the internet I was directed here and was hoping that I might be able to get some recommendations to good algorithms or places that would be good to search to find the computational cost of various algorithms.
Thanks!