For the H-nonlinear equation systems produced by stiffnonlinear function f(y): y Rm Rm, the paper presents a new Newton-like iterative solution method:completely-square method, establishes its convergence theory and offersfour simple algorithms for approximate calculation of optimum iterativeparameter in this method. The iterative method do not need tocompute(f)2, and LU-decomposition only need to be done forsome m m matrix. Numerical examples show that if appropriateapproximate optimum iterative parameter is selected on the coefficientsin the hybrid method that products the H-nonlinear equation systems then theiterative solution method in the paper is high efficieney.
H-非线性方程组 迭代解法的收敛性 完全平方迭代法 解刚性问题的混合法 A0-稳定性