A difficulty in Williams' algorithm for interpolating rationals
Abstract: J. Williams has developed a theory and an algorithm for best Chebyshev approximation of decay-type functions by an oscillation factor times a negative power of a linear form (in particular a polynomial). It is shown that the levelling equations of the algorithm may not have an admissible solution.
-  Richard B. Barrar and Henry L. Loeb, On the Remez algorithm for non-linear families, Numer. Math. 15 (1970), 382–391. MR 0267724, https://doi.org/10.1007/BF02165509
-  Jack Williams, Numerical Chebyshev approximation by interpolating rationals, Math. Comp. 26 (1972), 199–206. MR 0373230, https://doi.org/10.1090/S0025-5718-1972-0373230-6
Retrieve articles in Mathematics of Computation with MSC: 65D15
Retrieve articles in all journals with MSC: 65D15