2013/10/31 by Gerardo Ariznabarreta, Gerardo Araznibarreta, Manuel Mañas +1 · 11 citations
Computer Science · Mathematics · Physics and Astronomy · #Action (physics) #Algebra over a field #Christoffel symbols #Dual polyhedron #Factorization #Jacobi polynomials #Mathematical functions and polynomials #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Measure (data warehouse) #Orthogonal polynomials #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Type (biology) #math-ph #math.CA #math.GR #math.MP #msc:15A23 #msc:33C45 #msc:37K10 #msc:42C05 #nlin.SI
paper · pdf · doi:10.1016/j.laa.2014.04.030
published in Linear Algebra and its Applications 468, 154-170 (Elsevier BV) · 9 pags. arXiv admin note: text overlap with arXiv:1004.3916
openalex publication_date 2014/05/28 · openalex created_date 2016/06/24 · arxiv created 2016/12/18 · arxiv updated 2016/12/20 · openalex updated_date 2026/08/05
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.