Vector orthogonal polynomials and matrix series
✍ Scribed by Hervé Le Ferrand
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 927 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
An algebraic theory of orthogonality for vector polynomials with respect to a matrix of linear forms is presented including recurrence relations, extension of the Shohat Favard theorem, of the Christoffel Darboux formula, and its converse. The connection with orthogonal matrix polynomials is describ
In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (P n ) n of orthogonal matrix polynomials on the real line with respect to a positive definite matrix of measures. Using these results, we show how to get an orthogonalizing matrix of measures for a