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- Paul Levrie
- 1996

We introduce a matrix continued fraction associated with the first-order linear recurrence system Yk = θkYk−1. A Pincherle type convergence theorem is proved. We show that the n-th order linear recurrence relation and previous generalizations of ordinary continued fractions form a special case. We give an application for the numerical computation of a… (More)

- Paul Levrie, Walter Daems
- The American Mathematical Monthly
- 2009

By “straightforward” we mean that it can be presented in a standard one-variable calculus course. This is not the first time an “elementary” proof of this identity has been given. Several other proofs can be found in, e.g., [1], [3], [4], [5], [7]. Most of them are variations on a theme (double integral, gamma function, . . . ). This one is a simplification… (More)

- Paul Levrie, Adhemar Bultheel
- Numerical Algorithms
- 1993

In this paper we construct ann-fraction which is a generalization of a Thiele continued fraction. We prove that, under certain conditions, themth approximant of thisn-fraction solves the vector case of the rational interpolation problem.

- Rudi Penne, Bart Ribbens, Luc Mertens, Paul Levrie
- ACIVS
- 2015

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