论文标题
间隔算术的非线性扩展和平方区域间隔方程的精确分辨率
Non-linear extension of interval arithmetic and exact resolution of interval equations over square regions
论文作者
论文摘要
间隔数是$ \ mathbb {r} $的一组紧凑间隔，并进行添加和乘法操作，对于在存在错误或不确定性间隔的情况下求解计算非常有用，但是，它缺乏代数结构，具有相反元素的代数结构，在添加性和乘积方程中均具有过度构图或过度的求解方程式，或者在过度的范围中均具有过度的构图。地区。在本文中，我们将通过将间隔数空间之间的成瘾和乘法保留到方形对角线矩阵空间之间的繁殖和乘法来提出解决方案。
The interval numbers is the set of compact intervals of $\mathbb{R}$ with addition and multiplication operation, which are very useful for solving calculations where there are intervals of error or uncertainty, however, it lacks an algebraic structure with an inverse element, both additive and multiplicative This fundamental disadvantage results in overestimation of solutions in an interval equation or also overestimation of the image of a function over square regions. In this article we will present a solution to this problem, through a morphism that preserves both the addiction and the multiplication between the space of the interval numbers to the space of square diagonal matrices.
