- Full text PDF available (2)
- This year (0)
- Last 5 years (1)
- Last 10 years (2)
Journals and Conferences
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)
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., , , , , . Most of them are variations on a theme (double integral, gamma function, . . . ). This one is a simplification… (More)
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.