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Formulae of partial reduction for linear systems of first order operator equations. (English) Zbl 1197.15004
Summary: This paper deals with the reduction of non-homogeneous linear systems of first order operator equations with constant coefficients. An equivalent reduced system, consisting of higher order linear operator equations having only one variable and first order linear operator equations in two variables, is obtained by using the rational canonical form.

15A06 Linear equations (linear algebraic aspects)
15A21 Canonical forms, reductions, classification
47A50 Equations and inequalities involving linear operators, with vector unknowns
Full Text: DOI
[1] Гантмахер, Ф.Р., Теория матриц, издание четвертое, (1988), Наука Москва
[2] Goodman, F.M., Algebra: abstract and concrete, (1998), Semisimple Press Iowa City · Zbl 0947.00001
[3] И.Г. Петровский, Лекции по теории обыкновенных дифференциальных уравнений, издание седьмое, Издательство московского университета, Москва, 1984.
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