### 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 |

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### Keywords

- Decomposition
- Equivalence
- Functional systems
- Multivariate polynomial matrices
- Smith form
- Unimodular

### ASJC Scopus subject areas

- Applied Mathematics