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

  • A. E. FrazhoEmail author
  • A. C. M. Ran
Part of the Operator Theory: Advances and Applications book series (OT, volume 271)


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.


Inner-outer factorization matrix-valued function Toeplitz operators state space representation 

Mathematics Subject Classification (2010)

Primary 47B35 47A68 Secondary 30J99 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Aeronautics and AstronauticsPurdue UniversityWest LafayetteUSA
  2. 2.Department of Mathematics, Faculty of Science, VU AmsterdamDe Boelelaan 1081aAmsterdamThe Netherlands
  3. 3.Unit for BMI, North-West UniversityPotchefstroomSouth Africa

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