SIAM Journal on Numerical Analysis, Vol. 52, No. 4 (2014), pp. 1913-1927 (15 pages) Polynomial interpolants defined using Chebyshev extreme points as nodes converge uniformly at a geometric rate when ...
A new method for interpolation by rational functions of prescribed numerator and denominator degrees is presented. When the interpolation nodes are roots of unity or Chebyshev points, the algorithm is ...