分裂映射的两侧逼近区间割线法

对于求解非线性方程组的区间迭代法,若利用Moore检验,可判断解的存在唯一性.2]中在偏序下给出的区间Newton型方法,也有同样特性,本文利用f:D?R~n→R~n的斜度构造的区间割线算子,也可用于检验方程组解的存在唯一性,但它不用计算f的导数,针对f的不同分裂,还可以构造不同的两侧逼近割线法.分裂得当,便于求逆,使计算

TWO-SIDED INTERVAL SECANT METHODS FOR SEPARABLE MAPPINGS

In this paper, we introduce two-sided interval secant methods for the separation of a non-linear function. The existence and uniqueness of a solution to a nonlinear system and theconvergence of monotone iteration are proved. The methods may be applied directly to solvesystems of nonlinear difference equations and linear equations. Some numerical examples aregiven.