Abstract (EN):
Biorthogonal polynomials P-n((i, j)) include as particular cases vector orthogonal polynomials of dimension d and - d(d is an element of N). We pay special attention to the cases of dimension 1 and -1. We discuss the problem of computing P-n((i, j)) using only one or several recurrence relations. Furthermore, we deduce all recurrence relations of a certain type that give P-n((i, j)) from two other biorthogonal polynomials. The coefficients that appear in any two independent relations satisfy some identities from which it is possible to establish QD-like algorithms.
Language:
English
Type (Professor's evaluation):
Scientific
No. of pages:
20