为在 Banach 空格的正割方法的一条新集中定理为接近基于新复发关系被建立一个非线性的操作符方程的一个解决方案。顺序一非线性的操作员的划分差别是 Lipschitz,这被假定连续。集中条件不同于一些存在的并且容易满足。纸的结果被不能被更早的工作处理的数字例子认为正当。
A new convergence theorem for the Secant method in Banach spaces based on new recurrence relations is established for approximating a solution of a nonlinear operator equation. It is assumed that the divided difference of order one of the nonlinear operator is Lipschitz continuous. The convergence conditions differ from some existing ones and are easily satisfied. The results of the paper are justified by numerical examples that cannot be handled by earlier works.