Minimum relative error approximations for 1/t
There are papers which provoke many letters to the editors of a journal. This paper is a good candidate. Chebyshev and Bernstein provided formulas for the best uniform approximation of 1/t by polynomials. The analysis of the best relative approximation for a real interval is even simpler than that of the best absolute error. The results of the well known theory are the basis of the concept of semiiterative methods and are also crucial for understanding the good performance of conjugate gradient methods. Therefore, in that framework there are also many investigations of the approximation in more general regions in the complex plane.
scientific article; zbMATH DE number 4076436