【摘要】 通过实际计算比较,论文从实际应用的角度详细总结了解非线性方程组的Newton型方法具有的优点和缺陷。随后提出了循环中点求积法改进算法:即在离散Newton法与同伦方法结合的基础上修改了原算法中关于偏导矩阵奇异的判断标准和迭代终止的判断标准。通过实际运算检验,这一改进明显改善了原算法的可靠性和稳定性。更多还原

【Abstract】 The advantages and disadvantages of Newton-like methods for solving nonlinear equations were summarized.And an improvement for mid-point mensuration was proposed.In this method,the criterions of the singularity of matrix of partial derivative and the termination of iteration in the primary algorithm were modified on the basis of the combination of Newton’s method and homotopy method.After testing by practical problems,the improved algorithm made great progress in reliability and stability.更多还原