Abstract
Binomial two-sided homogeneous matrix equations with two unknowns are considered. The coefficients of the equations are third-order polynomial matrices of simple structure. For these equations, the conditions of existence and the method of finding a solution, which is a pair of a non-singular numerical matrix and a reversible polynomial matrix, are specified. Cite as: B. Z. Shavarovskii, "Non-singular solutions of one class of matrix equations over a polynomial ring," Prykl. Probl. Mekh. Mat. , Issue 1 7 , 1 7 – 26 (201 9 ) (in Ukrainian), https://doi.org/10.15407/apmm2019.17.17-26
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