Simple polynomial equations over (m x m)-matrices

Tjatyrko, VitalijKarassev, Alexandre2026-06-042026-06-042026-06-031576-9402https://riunet.upv.es/handle/10251/235812[EN] Let m be any integer ? 3 . We consider the polynomial equation Xn+an-1·Xn-1+···+a1·X+a0·I=O,over (m x m)-matrices X with the real entries, where I is the identity matrix, O is the null matrix, ai ? ? for each i and n ? 1. We discuss its solution set S supplied with the natural Euclidean topology.In particular, we describe the solution set S for m=3 and calculate its dimension.Reconocimiento - No comercial - Compartir igual (by-nc-sa)Polynomial equations over matricesMatrix algebraCovering dimensionSimple polynomial equations over (m x m)-matricesArtículo10.4995/agt.25707Abierto1989-4147