分块矩阵Drazin逆的新表示  

The new representations of the Drazin inverse of block matrix

作　　者：杨晓英[1] 王亚强 刘新[1] YANG Xiaoying;WANG Yaqiang;LIU Xin(School of Humanities,Sichuan Information Technology College,Guangyuan,Sichuan 628017,China;School of Mathematics and Information Sciences,Baoji University of Aarts and Sciences,Baoji,Shaanxi 721013,China)

机构地区：[1]四川信息职业技术学院人文学院,四川广元628017 [2]宝鸡文理学院数学与信息科学学院,陕西宝鸡721013

出　　处：《贵州师范大学学报（自然科学版）》2021年第6期20-22,44,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：陕西省自然科学基金项目(NO.2020JM-622);院级平台项目:基于广义Schur补为零的矩阵Drazin逆研究。

摘　　要：依据分块矩阵拆分为3个简单矩阵之和的思想,然后结合2个矩阵之和的Drazin逆已有结论,分别给出分块矩阵在2种条件下的Drazin逆新的表示。Based on thoughts for splitting the block matrix into the sum of three simple matrices,and combining with the Drazin inverse for the sum of two matrices in previous literature,the new representations for the Drazin inverse of the block matrix under two conditions are given respectively.

关 键 词：分块矩阵 DRAZIN逆 幂零 矩阵拆分 

分 类 号：O151.21[理学—数学]