Abstract
Here we consider matrices with the lower quasiseparable and upper semiseparable representations discussed in Section §14.2. We show that such representations correspond to discrete systems without backward recursions, i.e., to one-direction systems. We study such systems in detail and derive inversion algorithms for matrices of their input-output operators.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Basel
About this chapter
Cite this chapter
Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Quasiseparable/Semiseparable Representations and One-direction Systems. In: Separable Type Representations of Matrices and Fast Algorithms. Operator Theory: Advances and Applications, vol 234. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0606-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0606-0_16
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0605-3
Online ISBN: 978-3-0348-0606-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)