On an Algorithm for Nonlinear Minimax Approximation Certain nonlinear minimax approximation problems are characterize d 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. CACM March, 1970 Watson, G. A. minimax approximation, nonlinear approximation, linear programming 5.13 5.41 CA700304 JB February 13, 1978 4:52 PM 1932 4 2094 2094 4 2094 1566 5 2094 2094 5 2094 2094 5 2094 2094 5 2094 2352 5 2094 2353 5 2094 2094 6 2094 2094 6 2094