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1. CLASSIFICATION OF LINEAR PERIODIC DIFFERENCE EQUATIONS UNDER PERIODIC OR KINEMATIC SIMILARITY.

Author

Gohberg, I., Kaashoek, M. A., and Kos, J.

Subjects
EQUATIONS, KINEMATICS, DIFFERENTIAL equations, LINEAR operators, MATHEMATICAL analysis, NUMERICAL analysis, MATHEMATICS
Abstract

In this paper linear periodic systems of difference equations are classified with respect to periodic similarity and kinematic similarity. Complete sets of invariants of periodic difference equations relative to such similarity transformations are given, and corresponding canonical forms are described. Also the irreducible periodic difference equations, i.e., those that cannot be reduced by such similarities to a nontrivial direct sum, are identified. [ABSTRACT FROM AUTHOR]

Published
1999