区间正则化用于不精确的线性代数方程
Interval regularization for imprecise linear algebraic equations
AI总结：
本文研究了如何通过区间正则化方法提高不精确线性方程组求解的稳定性，通过将原始不精确线性系统浸入相同结构的区间线性系统中，从而获得更稳定且条件更好的解集。
摘要：
在本文中，我们考虑了解决那些可以确定不精确的线性代数方程组的系统。为了提高求解过程的稳定性，我们将原始不精确线性系统浸入一个相同结构的区间线性方程组中，然后考虑其可容忍的解集。结果，系统的
英文摘要：
In this paper, we consider the solution of ill-conditioned systems of linear algebraic equations that can be determined imprecisely. To improve the stability of the solution process, we "immerse" the original imprecise linear system in an interval system of linear algebraic equations of the same structure and then consider its tolerable solution set. As the result, the "intervalized" matrix of the system acquires close and better conditioned matrices for which the solution of the corresponding equation system is more stable. As a pseudo-solution of the original linear equation system, we take a point from the tolerable solution set of the intervalized linear system or a point that provides the largest tolerable compatibility (consistency). We propose several computational recipes to find such pseudo-solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
