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Van Barel

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Articles

Mathematics > Numerical Analysis

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By Van Barel
| arXiv
We study multiple orthogonal polynomials with orthogonality defined by multiple positive discrete measures on the real line. Focusing on type~I and type~II multiple orthogonal polynomials and their step-line recurrence relations, we consider the reconstruction of the associated banded upper Hessenberg recurrence matrix from given nodes and weights of the measures.
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[2602.20955] Orthonormal polynomial wavelets associated with de la Vallée Poussin-type interpolation on $[-1,1]$

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By Van Barel, Marc Van Barel
| arXiv
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
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[2506.19796] Krylov and core transformation algorithms for an inverse eigenvalue problem to compute recurrences of multiple orthogonal polynomials

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By Van Barel, Michele Rinelli, Marc Van Barel, Raf Vandebril
| arXiv
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