Abstract
Multivariate polynomial matrices arise from the treatment of functional linear systems such as systems described by partial differential equations, delay-differential equations or linear multidimensional discrete equations. In this paper we present conditions under which a class of multivariate polynomial matrices is equivalent to a block diagonal form. The conditions correspond to the decomposition of the associated linear systems of functional equations. The constructive method which can be easily implemented on a computer algebra system is illustrated by an example.
Original language | English |
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Pages (from-to) | 1747-1753 |
Number of pages | 7 |
Journal | Applied Mathematical Sciences |
Issue number | 33-36 |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Decomposition
- Equivalence
- Functional systems
- Multivariate polynomial matrices
- Smith form
- Unimodular
ASJC Scopus subject areas
- Applied Mathematics