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Structured matrix factorization length

math.AG · 2026-06-05 · unverdicted · novelty 7.0

Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.

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  • Structured matrix factorization length math.AG · 2026-06-05 · unverdicted · none · ref 21

    Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.