A 3x3 diagonal matrix with distinct nonzero entries disproves the Ye-Lim conjecture that every 3x3 matrix is a product of two Toeplitz matrices; worst-case counts are now bounded by 3 to 4 for n=3 and 3 to 9 for n=4.
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On the minimum number of Toeplitz factors of a matrix
A 3x3 diagonal matrix with distinct nonzero entries disproves the Ye-Lim conjecture that every 3x3 matrix is a product of two Toeplitz matrices; worst-case counts are now bounded by 3 to 4 for n=3 and 3 to 9 for n=4.