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On Inversion of Certain Structured Linear Transformation Related to Block Toeplitz Matrices

Authors :
Kaashoek, M.A.
van Schagen, F.
Dym, H.
Lancaster, P.
Langer, H.
Lerer, L.
Mathematics
Dym, H.
Kaashoek, M.A.
Lancaster, P.
Langer, H.
Lerer, L.
Source :
A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume, 377-386, STARTPAGE=377;ENDPAGE=386;TITLE=A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume, A Panorama of Modern Operator Theory and Related Topics ISBN: 9783034802208, Kaashoek, M A & van Schagen, F 2012, On Inversion of Certain Structured Linear Transformation Related to Block Toeplitz Matrices . in H Dym, M A Kaashoek, P Lancaster, H Langer & L Lerer (eds), A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume . Operator Theory: Advances and Applications, no. 218, Springer, Basel, pp. 377-386 . https://doi.org/10.1007/978-3-0348-0221-5_16
Publication Year :
2012
Publisher :
Springer, 2012.

Abstract

This paper presents an explicit inversion formula for certain structured linear transformations that are closely related to finite block Toeplitz matrices. The conditions of invertibility are illustrated by an example. State space techniques from mathematical system theory play an important role.

Details

Language :
English
ISBN :
978-3-0348-0220-8
ISBNs :
9783034802208
Database :
OpenAIRE
Journal :
A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume, 377-386, STARTPAGE=377;ENDPAGE=386;TITLE=A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume, A Panorama of Modern Operator Theory and Related Topics ISBN: 9783034802208, Kaashoek, M A & van Schagen, F 2012, On Inversion of Certain Structured Linear Transformation Related to Block Toeplitz Matrices . in H Dym, M A Kaashoek, P Lancaster, H Langer & L Lerer (eds), A Panorama of A Panorama of and Related Topics: The Israel Gohberg Memorial Volume . Operator Theory: Advances and Applications, no. 218, Springer, Basel, pp. 377-386 . https://doi.org/10.1007/978-3-0348-0221-5_16
Accession number :
edsair.doi.dedup.....0bb008f6dd3929b0702dfe8b30c8dd81
Full Text :
https://doi.org/10.1007/978-3-0348-0221-5_16