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- W2036703911 abstract "This paper deals with similarities of class Cp, in particular reduction of class Cp to Jordan form and unitary triangularization of class Cp of a matrix function. The main result is applied to establish a method to lower the order of nonlinear matrix differential equations belonging to a broad class of equations. In particular, this method permits one to transform nonlinear equations of the first order into an algebraic equation joint to a linear differential equation of the first order. The method is applied to the matrix differential equation XX′ − X′X = X, and a particular solution is easily obtained." @default.
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- W2036703911 date "1990-08-01" @default.
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- W2036703911 title "On similarities of class Cp and applications to matrix differential equations" @default.
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- W2036703911 doi "https://doi.org/10.1016/0024-3795(90)90135-y" @default.
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