Existence of minimal nonsquare J-symmetric factorizations for self-adjoint rational matrix functions

L. Lerer, M.A. Petersen, A.C.M. Ran

Research output: Contribution to JournalArticleAcademicpeer-review

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 languageEnglish
Pages (from-to)159-178
JournalLinear Algebra and its Applications
Volume379
DOIs
Publication statusPublished - 2004

Bibliographical note

MR2039302 Tenth Conference of the International Linear Algebra Society

Fingerprint

Dive into the research topics of 'Existence of minimal nonsquare J-symmetric factorizations for self-adjoint rational matrix functions'. Together they form a unique fingerprint.

Cite this