V. Chatyrko

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math.RA2025

Simple polynomial equations over (mxm)-matrices

Vitalij A. Chatyrko, Alexandre Karassev

Let $m$ be any integer $\geq 3$ . We consider the polynomial equation $X^{n} + a_{n - 1} \cdot X^{n - 1} + \dots + a_{1} \cdot X + a_{0} \cdot I = O,$ over $(m \times m)$ -matrices $X$ with t…

math.RA2025

Simple polynomial equations over $(2 \times 2)$ -matrices

Vitalij A. Chatyrko, Alexandre Karassev

We consider the polynomial equation $X^{n} + a_{n - 1} \cdot X^{n - 1} + \dots + a_{1} \cdot X + a_{0} \cdot I = O,$ over $(2 \times 2)$ -matrices $X$ with the real entries, where $I$ is the…

Simple polynomial equations over (mxm)-matrices

Simple polynomial equations over (2×2)-matrices

Simple polynomial equations over $(2 \times 2)$ -matrices