Title | **A local construction of the Smith normal form of a matrix polynomial** |

Author(s) | Jon Wilkening, Jie-Tai Yu |

Type | Article in Journal |

Abstract | We present an algorithm for computing a Smith form with multipliers of a regular matrix polynomial over a field. This algorithm differs from previous ones in that it computes a local Smith form for each irreducible factor in the determinant separately and then combines them into a global Smith form, whereas other algorithms apply a sequence of unimodular row and column operations to the original matrix. The performance of the algorithm in exact arithmetic is reported for several test cases. |

Keywords | Matrix polynomial, Canonical forms, Smith form, Jordan chain, Symbolic computation |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717110001136 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 46 |

Number | 1 |

Pages | 1 - 22 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |