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math.NA2024
Fast measure modification of orthogonal polynomials via matrices with displacement structure
Karim Gumerov, Samantha Rigg, Richard Mikael Slevinsky
It is well known that matrices with low Hessenberg-structured displacement rank enjoy fast algorithms for certain matrix factorizations. We show how principal finite se…
math.NA2024
Building hierarchies of semiclassical Jacobi polynomials for spectral methods in annuli
Ioannis P. A. Papadopoulos, Timon S. Gutleb, Richard M. Slevinsky +1
We discuss computing with hierarchies of families of (potentially weighted) semiclassical Jacobi polynomials which arise in the construction of multivariate orthogonal polynomials.…