在给定适当区间内搜索非线性方程组的解

Search for the solution of nonlinear equations in given space

在给定适当区间内应用最佳平方逼近,将非线性方程组化成相应的线性拟合方程组;并通过最小二乘法拟合线性拟合方程组的解,该解也是非线性方程组的近似解;并将该方法与常规的最快下降法作比较.

The application of the best square approximations in given space was presented, nonlinear equations were transfered into its line equations; by using the least squares multiplication method the solution of quasilinearization equations was approximated. This solution could be regarded as the approximated solution of nonlinear equations; meanwhile, this method was compared with general one.