Cassatella-Contra, Giovanni AMañas Baena, Manuel EnriqueTempesta, Piergiulio2023-06-192023-06-192014-090951-771510.1088/0951-7715/27/9/2321https://hdl.handle.net/20.500.14352/34735©IOP Publishing Ltd. PT has been supported by Spanish 'Ministerio de Ciencia e Innovacion' grant FIS2011-00260. GC-C benefitted from the financial support of a 'Accion Especial' Ref. AE1/13-18837 of the Universidad Complutense de Madrid. MM acknowledges economical support from the Spanish 'Ministerio de Economia y Competitividad' research project MTM2012-36732-C03-01, Ortogonalidad y aproximacion; Teoria y Aplicaciones.We study the analytic properties of a matrix discrete system introduced by Cassatella and Manas (2012 Stud. Appl. Math. 128 252-74). The singularity confinement for this system is shown to hold generically, i.e. in the whole space of parameters except possibly for algebraic subvarieties. This paves the way to a generalization of Painleve analysis to discrete matrix models.engjournal articlehttp://dx.doi.org/10.1088/0951-7715/27/9/2321http://iopscience.iop.orghttp://arxiv.org/abs/1311.0557open access51-73Orthogonal polynomialsDifference-equationsIntegrable systemsPropertyGravityGraphsFísica-Modelos matemáticosFísica matemática