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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.RA2023
Some remarks on permanent dominant conjecture
Kijti Rodtes
In this paper we provide an identity between determinant and generalized matrix function. Also, a criterion of positive semi-definite matrices affirming the permanent dominant conj…