中文摘要：

在局部误差界条件下，分析了一类非线性方程组的无导数投影法的收敛速度，证明了序列{dist（xk，x＊）}Q-线性收敛于0，从而序列{xk}R-线性收敛于x＊；对更一般的4种方法进行了讨论，分别得到了其收敛速度．

英文摘要：

In the report, under the local error bound condition, the convergence rate of the derivative-free projection method for a class of nonlinear equations was analyzed, and the sequence {dist（xk ,X＊ ） } Q-linearly converges to 0 was proved. So, the whole sequence { xk } R-linearly converges to x＊ Moreover, the four general methods are discussed, and their convergence rates are obtained.