13 citations · 28 across the 14 of their papers we have counts for
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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.…
Lifting Sylvester equations: singular value decay for non-normal coefficients
Raphaël Clouâtre, Brock Klippenstein, Richard Mikaël Slevinsky
We aim to find conditions on two Hilbert space operators and under which the expression having low rank forces the operator itself to admit a good low rank appr…
Fast and stable rational approximation of generalized hypergeometric functions
Richard Mikael Slevinsky
Rational approximations of generalized hypergeometric functions of type are constructed by the Drummond and factorial Levin-type sequence transformations. We de…
Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations
Timon S. Gutleb, Sheehan Olver, Richard Mikael Slevinsky
We describe fast algorithms for approximating the connection coefficients between a family of orthogonal polynomials and another family with a polynomially or rationally modified m…