## Abstract

In this paper we show that any rational matrix function having hermitian values on the imaginary axis, and with constant signature and constant pole signature admits a minimal symmetric factorization with possibly nonsquare factors. Our proof is based on a construction which shows that any such function can be extended (preserving its McMillan degree) to a function that admits J-symmetric factorization with square factors. Also, we consider other properties of the factors in J-symmetric factorizations. Particular attention is given to the study of the common invariant zero structure of these factors. © 2003 Published by Elsevier Inc.

Original language | English |
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Pages (from-to) | 159-178 |

Journal | Linear Algebra and its Applications |

Volume | 379 |

DOIs | |

Publication status | Published - 2004 |