Rational Chebyshev Approximation in the Complex Plane
S. W. Ellacott, Jack L. Williams · SIAM Journal on Numerical Analysis · 1976
We discuss the characterization and computation of best rational Chebyshev approximations to complex-valued functions on subsets of the complex plane. A descent algorithm is presented (which includes a device for controlling the position of poles of the approximating rationale) for computing local best approximations. Several illustrative numerical examples are also presented.