论文标题
关于矩阵铅笔和线性关系的特征不变
On characteristic invariants of matrix pencils and linear relations
论文作者
论文摘要
研究线性关系与基质铅笔之间的关系。鉴于线性关系，我们引入了其Weyr特征。如果线性关系是给定矩阵铅笔的范围（或内核）表示，我们表明该特征和铅笔的Kronecker规范形式之间存在对应关系。利用这种关系以获得对矩阵铅笔在等级一扰动下不变特征的估计。
The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or the kernel) representation of a given matrix pencil, we show that there is a correspondence between this characteristic and the Kronecker canonical form of the pencil. This relationship is exploited to obtain estimations on the invariant characteristics of matrix pencils under rank one perturbations.
