Publication:
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/37713
ISSN: 1017-1398
DOI: https://doi.org/10.1007/s11075-022-01402-y
UXXI: AR/0000032498
Files
Higher_NA_2023.pdf (1.96 MB)
Publication date
2023-01
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
It 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.
Description
Keywords
Five diagonal matrices, Jacobi matrices, Laguerre polynomials, Orthogonal polynomials, Recurrence relations, Sobolev-type orthogonal polynomials
Bibliographic citation
Hermoso, 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.
Collections
DM - GAMA - Artículos de Revistas