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math.NA2023★ 4 cited
Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product
Marc Van Barel, Niel Van Buggenhout, Raf Vandebril
Often, polynomials or rational functions, orthogonal for a particular inner product are desired. In practical numerical algorithms these polynomials are not constructed, but instea…
cs.DC2023
Parallel two-stage reduction to Hessenberg-triangular form
Thijs Steel, Raf Vandebril
We present a two-stage algorithm for the parallel reduction of a pencil to Hessenberg-triangular form. Traditionally, two-stage Hessenberg-triangular reduction algorithms achieve h…