A Sequential Algorithm For Solving A System Of Nonlinear Equations
Kai-tai Fang 1, Yuan Wang 21 Institute of Applied Mathematics, Academia Sinica, Beijing, China
2 Institute of Mathematics, Academia Sinica, Beijing, China
Received 1990-2-5 Revised Online 2006-12-8
A sequential algorithm for solving a system of nonlinear equations based on the number-theoretic method is proposed. In order to illustrate the effectiveness of the method, the following two problems are discussed in detail:the problems for finding out a representative point of a continuous univariate distribution, and a fixed point of a continuous mapping of a closed bounded domain into itself.