计算正则矩阵束标准型的一种实用方法

A Practical Method to Calculate the Normalized-Form ofRegular Pencil of Matrices

利用分块矩阵技巧，对正则的矩阵束λＡ＋Ｂ施以与λ无关的行、列变换，把λＡ＋Ｂ化成标准型．该方法在计算量上明显少于传统方法，而且当Ａ、Ｂ维数很大时同样实用．

The regular Pencil of matrices λA+B is transformed into normalized form using block matrix technique with rows and columns both out of relation to λ.This method is proved apparently superior to traditional ones for less calculating works to be done,and still useful even if the nuber of dimensions of A and Bare very great.