Formulae of partial reduction for linear systems of first order operator equations

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,...

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Bibliographic Details
Published in:Applied mathematics letters 2010-11, Vol.23 (11), p.1367-1371
Main Authors: MALESEVIC, Branko, TODORIC, Dragana, JOVOVIC, Ivana, TELEBAKOVIC, Sonja
Format: Article
Language:English
Subjects:
[formula omitted]th order linear operator equation with constant coefficients
Algebra
Algebraic geometry
Canonical forms
Equivalence
Exact sciences and technology
Linear operators
Linear system of first order operator equations with constant coefficients
Linear systems
Mathematical analysis
Mathematical models
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Operator theory
Operators
Reduction
Sciences and techniques of general use
Sum of principal minors
The characteristic polynomial
The rational canonical form
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Description
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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.06.033