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Lagrange matrix equations

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Abstract

In this paper, we proceed with studying matrix equations over “skew series”. We establish conditions for splitting a Lagrange matrix equation into a set of scalar differential equations. We consider diagonal, triangular, nil-triangular, and dual-diagonal forms of its solution.

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References

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Correspondence to V. P. Derevenskii.

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Original Russian Text © V.P. Derevenskii, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 12, pp. 14–26.

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Derevenskii, V.P. Lagrange matrix equations. Russ Math. 59, 10–20 (2015). https://doi.org/10.3103/S1066369X15120026

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  • DOI: https://doi.org/10.3103/S1066369X15120026

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