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Arithmetic complexity of matrix powering

Most (perhaps even all) nontrivial algorithms for matrix multiplication use cancellations in a crucial way, so I would expect there is a difference between the monotone case and the unrestricted case. … Also, note that the equivalence between matrix powering and determinant in the last case is necessarily non-monotone (since matrix powering is a polynomial with all nonnegative coefficients, but the determinant …
Joshua Grochow's user avatar