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Singularity Confinement in the Discrete-Time Toda Lattice and Q-D Algorithm

By Alan K. Common

Abstract

An integrability criterion for discrete systems based on singularity confinement has been defined recently as an analogue of the Painleve test for continuous systems. It will be demonstrated that the discrete time Toda lattice, equivalent to the Q-D algorithm for finding poles of a holomorphic function, satisfies the criterion

Topics: QC
Publisher: Elsevier Bv
Year: 1994
OAI identifier: oai:kar.kent.ac.uk:20463
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