Formulae of Partial Reduction for Linear Systems of First Order Operator Equations
Branko Malešević, Dragana Todorić, Ivana Jovović, Sonja Telebaković · 2012
This paper deals with 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. Key words: Linear system of first order operator equations with constant coefficients, n th order linear operator equation with constant coefficients, sum of principal minors, the rational canonical form, the characteristic polynomial 1.