Any real factorization Q=AB of the lower-triangular all-ones prefix matrix has ∥A∥_{2→∞}∥B∥_{1→1} ≥ c log^{3/2} n/(log log n)^{3/2}.
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A Near-Optimal Lower Bound for Prefix-Matrix Factorizations
Any real factorization Q=AB of the lower-triangular all-ones prefix matrix has ∥A∥_{2→∞}∥B∥_{1→1} ≥ c log^{3/2} n/(log log n)^{3/2}.