Singularity confinement for matrix discrete Painlevé equations (Q2924848)
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scientific article; zbMATH DE number 6358222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularity confinement for matrix discrete Painlevé equations |
scientific article; zbMATH DE number 6358222 |
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Singularity confinement for matrix discrete Painlevé equations (English)
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17 October 2014
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singularity confinement
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discrete integrable systems
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non-commutative discrete Painlevé I equation
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Schur complements
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In this paper, the authors discuss the singularity confinement property, i.e., the discrete analogue of the singularity analysis or Painlevé test for continuous dynamical systems, for a matrix version of the discrete Painlevé I equation introduced in [\textit{G. A. Cassatella-Contra} and \textit{M. Mañas}, Stud. Appl. Math. 128, No. 3, 252--274 (2012; Zbl 1246.33003)]. They show that the singularity confinement property does hold generically for this discrete matrix equation by using the technique of Schur complements.
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