A note on inner-outer factorization of wide matrix-valued functions

A. E. Frazho*, A. C.M. Ran

*Corresponding author for this work

Research output: Chapter in Book / Report / Conference proceedingChapterAcademicpeer-review

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Abstract

In this paper we expand some of the results of [8, 9, 10]. In fact, using the techniques of [8, 9, 10], we provide formulas for the full rank inner-outer factorization of a wide matrix-valued rational function G with H entries, that is, functions G with more columns than rows. State space formulas are derived for the inner and outer factor of G.

Original languageEnglish
Title of host publicationOperator Theory, Analysis and the State Space Approach
Subtitle of host publicationIn Honor of Rien Kaashoek
EditorsHarm Bart, Sanne ter Horst, André C.M. Ran, Hugo J. Woerdeman
PublisherSpringer International Publishing Switzerland
Pages201-214
Number of pages14
ISBN (Electronic)9783030042691
ISBN (Print)9783030042684
DOIs
Publication statusPublished - 2018

Publication series

NameOperator Theory: Advances and Applications
Volume271
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • Inner-outer factorization
  • Matrix-valued function
  • State space representation
  • Toeplitz operators

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