Nonlinear Numerical Methods and Rational Approximation II

Orthogonal Polynomials.- Zeros of orthogonal and biorthogonal polynomials: some old, some new.- Some sequences arising in the creation of new orthogonal polynomials.- Convergence of Lagrange interpolation for Freud weights in weighted LP(IR),0 accuracy-through-order and the equivalence properties in the algebraic approximant.- On the vector-valued Padé approximants and the vector ?- algorithm.- Quadrature formulas on the unit circle and two-point Padé approximation.- Continued fractions.- A survey of truncation error analysis for Padé and continued fraction approximants.- Truncation error bounds for limit K-periodic continued fractions.- Continued fractions for the symmetric strong Stieltjes moment problem.- Observations on indeterminate Stieltjes moment problems.- A family of classical determinate Stieltjes moment problems with discrete solutions.- Convergence criteria of two-dimensional continued fractions.- First order linear recurrence systems and general N-fractions.