Articolo in rivista, 1976, ITA

Utilizzazione di proprietà delle matrici per lo studio dei polinomi ultrasferici

Capovani M.; Ghelardoni G.; Lombardi G.

CNR-IEI, Pisa, Italy; CNR-IEI, Pisa, Italy; CNR-IEI, Pisa, Italy

A system of orthogonal polinomials can be generated by a three-term recurrence relationship so that with each polinomial a certain tridiagonal matrix can be associated. Making use only of matrix properties that, besides being tridiagonal, are symmetric, positive definite, non negative and, in particular, oscillatory, some properties, partly well known, of the zeros of the ultraspherical polinomials are found and highly efficent method is proposed to compute such zeros.

Rendiconti di matematica 6 (9), pp. 57–69

Keywords

Matrici, Polinomi ultrasferici

CNR authors

Lombardi Giovanni

CNR institutes

ISTI – Istituto di scienza e tecnologie dell'informazione "Alessandro Faedo"

ID: 422587

Year: 1976

Type: Articolo in rivista

Creation: 2020-05-21 10:55:02.000

Last update: 2020-05-21 10:55:02.000

External links

OAI-PMH: Dublin Core

OAI-PMH: Mods

OAI-PMH: RDF

External IDs

CNR OAI-PMH: oai:it.cnr:prodotti:422587