Publication: A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type
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2016-07
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Elsevier
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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.
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Proceedings of: 18th Conference of the International Linear Algebra Society (18th ILAS Conference). Providence, Rhode Island, USA. June 3-7, 2013
Keywords
Multiple orthogonal polynomials, Christoffel–Darboux formula, Moment matrices, Jacobi type matrices, Gauss decomposition
Bibliographic citation
Linear Algebra and its Applications, 2015, v. 468, pp. 154-170.