LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS IN ARROWHEAD FORM

Ivana Jovović

DOI Number
https://doi.org/10.22190/FUMI201115041J
First page
557
Last page
573

Abstract


This paper deals with different approaches for solving linear systems of the first order differential equations with the system matrix in the symmetric arrowhead form.
Some needed algebraic properties of the symmetric arrowhead matrix are proposed.
We investigate the form of invariant factors of the arrowhead matrix.
Also the entries of the adjugate matrix of the characteristic matrix of the arrowhead matrix are considered. Some reductions techniques for linear systems of differential equations with the system matrix in the arrowhead form are presented.


Keywords

Arrowhead matrices, Linear systems of differential equations, Partial and total reductions of non-homogeneous linear systems of first order operator equations

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DOI: https://doi.org/10.22190/FUMI201115041J

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