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A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type.
- Source :
-
Linear Algebra & its Applications . Mar2015, Vol. 468, p154-170. 17p. - Publication Year :
- 2015
-
Abstract
- An alternative expression for the Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type is derived from the LU factorization of the moment matrix of a given measure and two sets of weights. We use the action of the generalized Jacobi matrix J , also responsible for the recurrence relations, on the linear forms and their duals to obtain the result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 468
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 100156988
- Full Text :
- https://doi.org/10.1016/j.laa.2014.04.030