Abstract
We introduce notions of skew and dual-skew series of a set of square matrices, and in these terms we formulate deflation conditions for general matrix quadratic equations.
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V. P. Derevenskii, “Matrix Differential Equations with Separation of Variables,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 7, 43–55 (2010) [Russian Mathematics (Iz. VUZ) 55 (9), 7–14 (2011)].
V. P. Derevenskii, “Matrix Two-Sided Linear Differential Equations,” Matem. Zametki 55(1), 35–42 (1994).
Mathematical Encyclopedia (Sovetskaya Entsiklopediya, Moscow, 1984), Vol. 4 [in Russian].
F. R. Gantmakher, Theory of Matrices (Nauka, Moscow, 1967) [in Russian].
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Original Russian Text © V.P. Derevenskii, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 1, pp. 17–30.
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Derevenskii, V.P. Quadratic equations over matrix skew series. Russ Math. 58, 14–26 (2014). https://doi.org/10.3103/S1066369X14010022
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DOI: https://doi.org/10.3103/S1066369X14010022