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math.RA2023
Idempotent factorization on some matrices over quadratic integer rings
Peeraphat Gatephan, Kijti Rodtes
In 2020, Cossu and Zanardo raised a conjecture on the idempotent factorization on singular matrices in the form $\begin{pmatrix} p&z\\ \bar{z}&\sfrac{\lVert z\rVert}{p} \end{pmatri…
math.RA2020
Divisibility of LCM matrices by Totally nonnegative GCD matrices
Peeraphat Gatephan, Kijti Rodtes
In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring . We also introduce \…