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.
Mathematics Subject Classification (2000). Primary 47B35; secondary 15A09, 93B99.
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Kaashoek, M.A., van Schagen, F. (2012). On Inversion of Certain Structured Linear Transformations Related to Block Toeplitz Matrices. In: Dym, H., Kaashoek, M., Lancaster, P., Langer, H., Lerer, L. (eds) A Panorama of Modern Operator Theory and Related Topics. Operator Theory: Advances and Applications(), vol 218. Springer, Basel. https://doi.org/10.1007/978-3-0348-0221-5_16
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DOI: https://doi.org/10.1007/978-3-0348-0221-5_16
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