Details of Research Outputs

In this paper, we suggest a sequential algorithm for finding the maximum/minimum of a continuous function in a multi-dimensional rectangle by number-theoretic method. The program of this method is simple, and the precision is higher than the method without using a sequential search. We can also generalize algorithm for finding the maximum of a function in some other regions such as ball, sphere and simplex. As an application, we use the algorithm to estimate the regression coefficients in some non-linear models as well as in the linear regression model with linear and nonnegative constraints.