Malešević, Branko; Todorić, Dragana; Jovović, Ivana; Telebaković, Sonja Formulae of partial reduction for linear systems of first order operator equations. (English) Zbl 1197.15004 Appl. Math. Lett. 23, No. 11, 1367-1371 (2010). 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. Cited in 3 Documents MSC: 15A06 Linear equations (linear algebraic aspects) 15A21 Canonical forms, reductions, classification 47A50 Equations and inequalities involving linear operators, with vector unknowns Keywords:linear system of first order operator equations with constant coefficients; \(n\)th order linear operator equation with constant coefficients; sum of principal minors; rational canonical form; characteristic polynomial PDF BibTeX XML Cite \textit{B. Malešević} et al., Appl. Math. Lett. 23, No. 11, 1367--1371 (2010; Zbl 1197.15004) Full Text: DOI arXiv OpenURL References: [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. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.