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Quadratic equations over matrix skew series

V. P. Derevenskii

Chair of Higher Mathematics, Kazan State Architecture and Building University, 1 Zelyonaya str., Kazan, 420043 Russia

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.

Keywords: matrix structures, general matrix quadratic equations.

UDC: 512.643

Received: 07.09.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:1, 14–26

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