Hermoso, CarlosHuertas, Edmundo J.Lastra, AlbertoMarcellán Español, Francisco José2023-07-032023-07-032023-01Hermoso, C., Huertas, E. J., Lastra, A., & Marcellán, F. (2022). Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. Numerical Algorithms, 92(1), 665-692.1017-1398https://hdl.handle.net/10016/37713It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N + 1)-banded symmetric semi-infinite matrix. In this paper, we state the connection between these (2N + 1)-banded matrices and the Jacobi matrices associated with the three-term recurrence relation satisfied by the standard sequence of orthonormal polynomials with respect to the 2-iterated Christoffel transformation of the measure.28eng© The Author(s) 2022.Atribución 3.0 EspañaFive diagonal matricesJacobi matricesLaguerre polynomialsOrthogonal polynomialsRecurrence relationsSobolev-type orthogonal polynomialsresearch articleFísicaInformáticaMatemáticashttps://doi.org/10.1007/s11075-022-01402-yopen access6651692Numerical Algorithms92AR/0000032498