Geodesic
Partial reduction for linear systems of operator equations with system matrix in companion form
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2.

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In this paper we will consider a partial reduction for nonhomogeneous linear systems of the operator equations with the system matrix in the companion form and with different operators. As a result of this method we will get an equivalent system consisting of the linear opera\-tor equations having only one or two variables. Homogeneous part of the equation in one unknown is obtained using generalized characteristic polynomial of the system matrix. We will also look more closely at some properties of the doubly companion matrix.
Publié le :
DOI : 10.30755/NSJOM.2012.037
Classification : 15A21
Keywords: Partial and total reduction for linear systems of operator equations, companion matrix, doubly companion matrix, sum of principal minors, characteristic polynomial, generalized characteristic polynomial 
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     title = {Partial reduction for linear systems of operator equations with system matrix in companion form},
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Ivana Jovović. Partial reduction for linear systems of operator equations with system matrix in companion form. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2. doi : 10.30755/NSJOM.2012.037. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.2012.037/

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