On an algorithm for nonlinear minimax approximation
Certain nonlinear minimax approximation problems are characterized by properties which permit the application of special algorithms, mainly based on the exchange algorithms of Remes (1934, 1935), for their solution. In this paper the application to problems of this type of a general nonlinear algorithm due to Osborne and Watson (1969) is considered. Examples are given to illustrate that this algorithm can give satisfactory results and, in particular, can successfully solve problems which lead to difficulties with the more conventional specialist method.