论文标题
关于广义绝对值方程的唯一解决方案
On the unique solution of the generalized absolute value equation
论文作者
论文摘要
在本文中，首先提出了一些有用的必要条件，可为广义绝对价值方程式（给出）$ a ax-b | x | = b $带有$ a，b \ in \ mathbb {r}^{r}^{n \ times n} $的优化字段首先提出，该$首先介绍，涵盖了与Linateal System $ ax $ ax $ ax $ ax = b $ a的基本理论的基础。 \ mathbb {r}^{n \ times n} $。不仅如此，还可以获得一些新的足够解决方案，这些条件比以前发表的作品弱弱。
In this paper, some useful necessary and sufficient conditions for the unique solution of the generalized absolute value equation (GAVE) $Ax-B|x|=b$ with $A, B\in \mathbb{R}^{n\times n}$ from the optimization field are first presented, which cover the fundamental theorem for the unique solution of the linear system $Ax=b$ with $A\in \mathbb{R}^{n\times n}$. Not only that, some new sufficient conditions for the unique solution of the GAVE are obtained, which are weaker than the previous published works.
