Orthogonal matrix polynomials and higher-order recurrence relations
✍ Scribed by A.J. Durán; W. Van Assche
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 952 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0024-3795
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We describe families of matrix valued polynomials satisfying simultaneously a first order differential equation and a three term recurrence relation. Our goal is to address the classification of the matrix valued polynomials satisfying first order differential equations through the solutions of the
## a b s t r a c t We consider orderings of nested subspaces of the space of Laurent polynomials on the real line, more general than the balanced orderings associated with the ordered bases {1, z -1 , z, z -2 , z 2 , . . .} and {1, z, z -1 , z 2 , z -2 , . . .}. We show that with such orderings th