Richard Mikaël Slevinsky

collaborators

3 papers

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 $n \times n$ principal finite se…

math.NA2023

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 $A$ and $B$ under which the expression $A X - X B$ having low rank forces the operator $X$ itself to admit a good low rank appr…

math.NA2023

Fast and stable rational approximation of generalized hypergeometric functions

Richard Mikael Slevinsky

Rational approximations of generalized hypergeometric functions $_{p} F_{q}$ of type $(n + k, k)$ are constructed by the Drummond and factorial Levin-type sequence transformations. We de…