关键词: 区间算法, 遗传算法, 非线性方程组

Abstract: The problem on solving nonlinear equations is transformed into that of function optimization.A new Interval-Genetic Algorithm（IGA） is presented via combination of genetic algorithm and interval algorithm.The algorithm has the advantages of the genetic algorithm such as group search and global convergence and the interval algorithm such as the special computational test for the existence of a solution.At each iteration the interval algorithm provides the reliable domain for the genetic algorithm to search，and the genetic algorithm gives the safe starting regions to the interval algorithm.Finally，numerical experiments show that the IGA has global convergence，high convergence rate and solution precision，and is a reliable approach in solving nonlinear equations.

Key words: interval algorithm, genetic algorithm, nonlinear equations