145 citations · 843 across the 63 of their papers we have counts for
Showing 1995 · math.CAShow all
3 papers · 2 filters
math.CA1995
Compact Jacobi matrices: from Stieltjes to Krein and M(a,b)
Walter Van Assche
In a note at the end of his paper {\it Recherches sur les fractions continues}, Stieltjes gave a necessary and sufficient condition when a continued fraction is represented by a me…
math.CA1995
Upward extension of the Jacobi matrix for orthogonal polynomials
André Ronveaux, Walter Van Assche
Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) wh…
math.CA1995
Perturbation of orthogonal polynomials on an arc of the unit circle
Leonid B. Golinskii, Paul G. Nevai, Walter Van Assche
Orthogonal polynomials on the unit circle are completely determined by their reflection coefficients through the Szegő recurrences. We assume that the reflection coefficients conve…