【摘要】 人们惯于认为,运用迭代法求解非线性方程组只能获得解的近似值而不可能得到精确解。而本文有兴趣于指出:对某些类特殊非线性方程,运用适当迭代法能在有限步内求出其精确解。更多还原

【Abstract】 It is generally accepted that an approximate solution, but not an exactone, can only be obtained by an iterative method for a system of nonlinearequations. In this paper, however, examples are given to show that specificiterative methods can be used to find an exact solution of certain system ofnonlinear equations in finite steps. These examples particulary suggeste a newdirect method for solving a class of "time-dependent" system of linearequations.更多还原