该文在基于区间序关系的体系中提出了局部解的概念并且利用类似于Oettli-Prager不等式的形式描述区间线性方程组Ax=b解的特征,进一步得到有关局部解的区间中点和区间半径的关系式。最后给出了区间线性方程组Ax=b的局部解存在的必要条件,得到了判断局部解是否存在的依据。
In this paper, we propose a new type of solution under the sequence of the interval and describe characteristics of the solution to linear equationswith a special inequality, which is similar to Oettli-Prager ine- quality. The inequality related to the mid-point and interval radius, finally we find a necessary condition of the solution to equations, which is the judgment to whether there exist local solution of the linear equations.