A Class of Methods for Solving Nonlinear Systems of Equations
解非线性方程组的一类算法

A class of algorithms for solving nonlinear systems of equations is proposed.Compared with the discrete Newton method, this class has the same quadratic co-nvergency, but its number of evaluations of the function is less than that of thediscrete Newton method per cycle. Some efficient algorithms can be obtained whenthe parameter is chosen by a different means. The nonlinear ABS algorithm, andthe Brown and Brent method are special cases of this class. The numerical exam-ples have showed its effectiveness.