Istituto di Informatica e Telematica     
Favati P., Lotti G., Menchi O. A survey on recursive algorithms for unbalanced banded Toeplitz systems: computational issues. Technical report, 2008.
Several direct recursive algorithms for the solution of band Toeplitz systems are considered. All the methods exploit the displacement rank properties, which allow a large reduction of computational efforts and storage requirements. Some algorithms make use of the Sherman-Morrison- Woodbury formula and result to be particularly suitable for the case of unbalanced bandwidths. The computational costs of the algorithms under consideration are compared both in a theoretical and practical setting. Some stability issues are discussed as well.
Subject Toeplitz systems

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