中文摘要：

为非线性的方程解决根的第三顺序的集中方法的一个班，是变体牛顿的方法，是集中性质是的 given.Their proved.They 在多重 roots.In 附近是简单的根和一顺序集中附近的至少第三顺序集中结束，数字测试被给，与另外的已知的牛顿的 methods.The 相比，结果证明建议方法比 others.They 有一些更多的优点充实方法发现非线性的方程的根并且

英文摘要：

A class of third-order convergence methods of solving roots for non-linear equation,which are variant Newton＇s method, are given. Their convergence properties are proved. They are at least third order convergence near simple root and one order convergence near multiple roots. In the end, numerical tests are given and compared with other known Newton＇s methods. The results show that the proposed methods have some more advantages than others. They enrich the methods to find the roots of non-linear equations and they are important in both theory and application.