Vector Interpretation of the Matrix Orthogonality on
✍ Scribed by A. Branquinho; F. Marcellán; A. Mendes
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 625 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0167-8019
No coin nor oath required. For personal study only.
📜 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 work it is shown that certain interesting types of orthogonal system of subalgebras (whose existence cannot be ruled out by the trivial necessary conditions) cannot exist. In particular, it is proved that there is no orthogonal decomposition of number of maximal abelian subalgebras and fact