Rational QZ steps with perfect shifts

N Mastronardi, M Van Barel, R Vandebril… - Numerical …, 2024 - Springer
In this paper we analyze the stability of the problem of performing a rational QZ step with a
shift that is an eigenvalue of a given regular pencil H-λ K in unreduced Hessenberg …

On generating Sobolev orthogonal polynomials

N Van Buggenhout - Numerische Mathematik, 2023 - Springer
Sobolev orthogonal polynomials are polynomials orthogonal with respect to a Sobolev inner
product, an inner product in which derivatives of the polynomials appear. They satisfy a long …