2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139252We give an algorithm that uses only unitary transformations and for each square complex matrix constructs a *congruent matrix that is a direct sum of a nonsingular matrix and singular Jordan blocks.18 pagesRepresentation Theory15A63; 15A21; 15A22A regularization algorithm for matrices of bilinear and sesquilinear formstext