Vector orthogonal polynomials
✍ Scribed by André Draux; Abdallah Maanaoui
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 634 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0377-0427
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
An addition formula, Pythagorean identity, and generating function are obtained for orthogonal homogeneous polynomials of several real variables. Application is made to the study of series of such polynomials. Results include an analog of the Funk-Hecke theorem.
The Galerkin method offers a powerful tool in the solution of differential equations and function approximation on the real interval [À1, 1]. By expanding the unknown function in appropriately chosen global basis functions, each of which explicitly satisfies the given boundary conditions, in general