2025/06/19 by Ignacio García-Marco, García-Marco, Ignacio, Irene Márquez-Corbella +3
Computer Science · Mathematics · #15B05 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Holomorphic and Operator Theory #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2506.16432
openalex publication_date 2025/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We disprove a conjecture by Ye and Lim, by showing that there are 3 × 3 complex matrices which can't be expressed as the product of two Toeplitz matrices of the same size. We also improve previous estimates by Ye and Lim on the minimum number of Toeplitz matrices needed to factor any n × n matrix, for low values of n.