Istituto di Scienza e Tecnologie dell'Informazione     
Capovani M., Ghelardoni G., Lombardi G. Utilizzazione di proprietÓ delle matrici per lo studio dei polinomi ultrasferici. In: Rendiconti di Matematica, vol. 6 (9) pp. 57 - 69. Editrice Gubbio, 1976.
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.

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